# Some papers publishedin 2019

1. Feng Qi, A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers, Journal of Computational and Applied Mathematics 351 (2019), 1–5; Available online at https://doi.org/10.1016/j.cam.2018.10.049.
2. Feng Qi, On bounds of the sine and cosine along straight lines on the complex plane, Acta Universitatis Sapientiae Mathematica 11 (2019), no. 2, in press; Available online at https://doi.org/10.2478/ausm-2019-????.
3. Feng Qi, Some inequalities and an application of exponential polynomials, Mathematical Inequalities & Applications 22 (2019), in press; Available online at https://doi.org/10.7153/mia-2019-22-??.
4. Feng Qi and Ravi P. Agarwal, On complete monotonicity for several classes of functions related to ratios of gamma functions, Journal of Inequalities and Applications 2019, 2019:36, 42 pages; Available online at https://doi.org/10.1186/s13660-019-1976-z.
5. Feng Qi, Ravi Bhukya, and Venkatalakshmi Akavaram, Some inequalities of the Turán type for confluent hypergeometric functions of the second kind, Studia Universitatis Babeş-Bolyai Mathematica 64 (2019), no. 1, 63–70; Available online at https://doi.org/10.24193/subbmath.2019.1.06.
6. Feng Qi, Viera Čerňanová, and Yuri S. Semenov, Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials, University Politehnica of Bucharest Scientific Bulletin Series A—Applied Mathematics and Physics 81 (2019), no. 1, 123–136.
7. Feng Qi and Bai-Ni Guo, Some properties of the Hermite polynomials, Advances in Special Functions and Analysis of Differential Equations, edited by Praveen Agarwal, Ravi P Agarwal, and Michael Ruzhansky, CRC Press, Taylor & Francis Group, 2019, in press.
8. Feng Qi, Siddra Habib, Shahid Mubeen, and Muhammad Nawaz Naeem, Generalized $k$-fractional conformable integrals and related inequalities, AIMS Mathematics 4 (2019), no. 3, 343–358; Available online at https://doi.org/10.3934/Math.2019.3.343.
9. Feng Qi, Dongkyu Lim, and Bai-Ni Guo, Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A: Matemáticas 113 (2019), no. 1, 1–9; Available online at http://dx.doi.org/10.1007/s13398-017-0427-2.
10. Feng Qi, Dongkyu Lim, and Yong-Hong Yao, Notes on two kinds of special values for the Bell polynomials of the second kind, Miskolc Mathematical Notes 20 (2019), no. 2, in press; Available online at https://doi.org/10.18514/MMN.2019.2635.
11. Feng Qi, Ai-Qi Liu, and Dongkyu Lim, Explicit expressions related to degenerate Cauchy numbers and their generating function, Proceeding on “Mathematical Modelling, Applied Analysis and Computation” in the book series “Springer Proceedings in Mathematics and Statistics”, 2019, in press; Available online at https://www.springer.com/series/10533.
12. Feng Qi, Pshtiwan Othman Mohammed, Jen-Chih Yao, and Yong-Hong Yao, Generalized fractional integral inequalities of the Hermite–Hadamard type for $(\alpha,m)$-convex functions, Journal of Inequalities and Applications 2019, 2019:???, 18 pages; Available online at https://doi.org/10.1186/s13660-019-2079-6.
13. Feng Qi and Kottakkaran Sooppy Nisar, Some integral transforms of the generalized $k$-Mittag-Leffler function, Publications de l’Institut Mathématique (Beograd) 104(118) (2019), in press.
14. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind, AIMS Mathematics 4 (2019), no. 2, 170–175; Available online at https://doi.org/10.3934/Math.2019.2.175.
15. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Some identities for a sequence of unnamed polynomials connected with the Bell polynomials, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A: Matemáticas 113 (2019), no. 2, 557–567; Available online at https://doi.org/10.1007/s13398-018-0494-z.
16. Feng Qi and Wasim Ul-Haq, Some integral inequalities involving the expectation and variance via Darboux’s expansion, Advances and Applications in Mathematical Sciences 18 (2019), in press.
17. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant, Bulletin of the Iranian Mathematical Society 45 (2019), in press; Available online at https://doi.org/10.1007/s41980-019-00232-4.
18. Feng Qi, Shao-Wen Yao, and Bai-Ni Guo, Arithmetic means for a class of functions and the modified Bessel functions of the first kind, Mathematics 7 (2019), no. 1, Article 60, 14 pages; Available online at https://doi.org/10.3390/math7010060.
19. Praveen Agarwal, Feng Qi, Mehar Chand, and Gurmej Singh, Some fractional differential equations involving generalized hypergeometric functions, Journal of Applied Analysis 25 (2019), in press; Available online at https://doi.org/10.11948/2019???.
20. Bai-Ni Guo and Feng Qi, On complete monotonicity of linear combination of finite psi functions, Communications of the Korean Mathematical Society 34 (2019), in press; Available online at https://doi.org/10.4134/CKMS.2019.34.?.???.
21. Ling-Xiong Han and Feng Qi, On approximation by linear combinations of modified summation operators of integral type in Orlicz spaces, Mathematics 7 (2019), no. 1, Article 6, 10 pages; Available online at https://doi.org/10.3390/math7010006.
22. Jian Sun, Bo-Yan Xi, and Feng Qi, Some new inequalities of the Hermite–Hadamard type for extended $s$-convex functions, Journal of Computational Analysis and Applications 26 (2019), no. 6, 985–996.
23. Jun Zhang, Zhi-Li Pei, and Feng Qi, Integral inequalities of Simpson’s type for strongly extended $(s,m)$-convex functions, Journal of Computational Analysis and Applications 26 (2019), no. 3, 499–508.
24. Chuan-Jun Huang, Gauhar Rahman, Kottakkaran Sooppy Nisar, Abdul Ghaffar, and Feng Qi, Some inequalities of the Hermite–Hadamard type for $k$-fractional conformable integrals, Australian Journal of Mathematical Analysis and Applications 16 (2019), no. 1, Article 7, 9 pages; Available online at http://ajmaa.org/cgi-bin/paper.pl?string=v16n1/V16I1P7.tex.
25. Bo-Yan Xi, Dan-Dan Gao, Tao Zhang, Bai-Ni Guo, and Feng Qi, Shannon type inequalities for Kapur’s entropy, Mathematics 7 (2019), no. 1, Article 22, 8 pages; Available online at https://doi.org/10.3390/math7010022.

# Some papers and preprints published in 2018

## Part One: Formally published papers in 2018

1. Feng Qi, A simple form for coefficients in a family of nonlinear ordinary differential equations, Advances and Applications in Mathematical Sciences 17 (2018), no. 8, 555–561.
2. Feng Qi, A simple form for coefficients in a family of ordinary differential equations related to the generating function of the Legendre polynomials, Advances and Applications in Mathematical Sciences 17 (2018), no. 11, 693–700.
3. Feng Qi, An improper integral, the beta function, the Wallis ratio, and the Catalan numbers, Problemy Analiza–Issues of Analysis 7 (25) (2018), no. 1, 104–115; Available online at https://doi.org/10.15393/j3.art.2018.4370.
4. Feng Qi, Integral representations for multivariate logarithmic polynomials, Journal of Computational and Applied Mathematics 336 (2018), 54–62; Available online at https://doi.org/10.1016/j.cam.2017.11.047.
5. Feng Qi, Notes on a double inequality for ratios of any two neighbouring non-zero Bernoulli numbers, Turkish Journal of Analysis and Number Theory 6 (2018), no. 5, 129–131; Available online at https://doi.org/10.12691/tjant-6-5-1.
6. Feng Qi, Notes on several families of differential equations related to the generating function for the Bernoulli numbers of the second kind, Turkish Journal of Analysis and Number Theory 6 (2018), no. 2, 40–42; Available online at https://doi.org/10.12691/tjant-6-2-1.
7. Feng Qi, On multivariate logarithmic polynomials and their properties, Indagationes Mathematicae 29 (2018), no. 5, 1179–1192; Available online at https://doi.org/10.1016/j.indag.2018.04.002.
8. Feng Qi, Simple forms for coefficients in two families of ordinary differential equations, Global Journal of Mathematical Analysis 6 (2018), no. 1, 7–9; Available online at https://doi.org/10.14419/gjma.v6i1.9778.
9. Feng Qi, Simplifying coefficients in a family of nonlinear ordinary differential equations, Acta et Commentationes Universitatis Tartuensis de Mathematica 22 (2018), no. 2, 293–297; Available online at https://doi.org/10.12697/ACUTM.2018.22.24.
10. Feng Qi, Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials, Applications and Applied Mathematics 13 (2018), no. 2, 750–755.
11. Feng Qi, Abdullah Akkurt, and Hüseyin Yildirim, Catalan numbers, $k$-gamma and $k$-beta functions, and parametric integrals, Journal of Computational Analysis and Applications 25 (2018), no. 6, 1036–1042.
12. Feng Qi, Ravi Bhukya, and Venkatalakshmi Akavaram, Inequalities of the Grünbaum type for completely monotonic functions, Advances and Applications in Mathematical Sciences 17 (2018), no. 3, 331–339.
13. Feng Qi, Viera Čerňanová, Xiao-Ting Shi, and Bai-Ni Guo, Some properties of central Delannoy numbers, Journal of Computational and Applied Mathematics 328 (2018), 101–115; Available online at https://doi.org/10.1016/j.cam.2017.07.013.
14. Feng Qi and Pietro Cerone, Some properties of the Fuss–Catalan numbers, Mathematics 6 (2018), no. 12, Article 277, 12 pages; Available online at https://doi.org/10.3390/math6120277.
15. Feng Qi and Bai-Ni Guo, A diagonal recurrence relation for the Stirling numbers of the first kind, Applicable Analysis and Discrete Mathematics 12 (2018), no. 1, 153–165; Available online at https://doi.org/10.2298/AADM170405004Q.
16. Feng Qi and Bai-Ni Guo, Lévy–Khintchine representation of Toader–Qi mean, Mathematical Inequalities & Applications 21 (2018), no. 2, 421–431; Available online at https://doi.org/10.7153/mia-2018-21-29.
17. Feng Qi and Bai-Ni Guo, On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function, Acta Universitatis Sapientiae Mathematica 10 (2018), no. 1, 125–133; Available online at https://doi.org/10.2478/ausm-2018-0011.
18. Feng Qi and Bai-Ni Guo, Simplification of coefficients in two families of nonlinear ordinary differential equations, Turkish Journal of Analysis and Number Theory 6 (2018), no. 4, 116–119; Available online at https://doi.org/10.12691/tjant-6-4-2.
19. Feng Qi and Bai-Ni Guo, Some properties and generalizations of the Catalan, Fuss, and Fuss–Catalan numbers, Chapter 5 in Mathematical Analysis and Applications: Selected Topics, First Edition, 101–133; Edited by Michael Ruzhansky, Hemen Dutta, and Ravi P. Agarwal; Published 2018 by John Wiley & Sons, Inc.; Available online at https://doi.org/10.1002/9781119414421.ch5.
20. Feng Qi and Bai-Ni Guo, The reciprocal of the weighted geometric mean is a Stieltjes function, Boletín de la Sociedad Matemática Mexicana, Tercera Serie 24 (2018), no. 1, 181–202; Available online at http://dx.doi.org/10.1007/s40590-016-0151-5.
21. Feng Qi and Bai-Ni Guo, The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function, Quaestiones Mathematicae 41 (2018), no. 5, 653–664; Available online at https://doi.org/10.2989/16073606.2017.1396508.
22. Feng Qi and Dongkyu Lim, Integral representations of bivariate complex geometric mean and their applications, Journal of Computational and Applied Mathematics 330 (2018), 41–58; Available online at http://dx.doi.org/10.1016/j.cam.2017.08.005.
23. Feng Qi, Dongkyu Lim, and Bai-Ni Guo, Some identities related to Eulerian polynomials and involving the Stirling numbers, Applicable Analysis and Discrete Mathematics 12 (2018), no. 2, 467–480; Available online at https://doi.org/10.2298/AADM171008014Q.
24. Feng Qi and Ai-Qi Liu, Alternative proofs of some formulas for two tridiagonal determinants, Acta Universitatis Sapientiae Mathematica 10 (2018), no. 2, 287–297; Available online at https://doi.org/10.2478/ausm-2018-0022.
25. Feng Qi, Cristinel Mortici, and Bai-Ni Guo, Some properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex body, Computational & Applied Mathematics 37 (2018), no. 2, 2190–2200; Available online at http://dx.doi.org/10.1007/s40314-017-0448-7.
26. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Simplification of coefficients in differential equations associated with higher order Frobenius–Euler numbers, Tatra Mountains Mathematical Publications 72 (2018), 67–76; Available online at https://doi.org/10.2478/tmmp-2018-0022.
27. Feng Qi, Gauhar Rahman, Sardar Muhammad Hussain, Wei-Shih Du, and Kottakkaran Sooppy Nisar, Some inequalities of Čebyšev type for conformable $k$-fractional integral operators, Symmetry 10 (2018), no. 11, Article 614, 8 pages; Available online at https://doi.org/10.3390/sym10110614.
28. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Integral representations of the large and little Schröder numbers, Indian Journal of Pure and Applied Mathematics 49 (2018), no. 1, 23–38; Available online at https://doi.org/10.1007/s13226-018-0258-7.
29. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, An integral representation, complete monotonicity, and inequalities of the Catalan numbers, Filomat 32 (2018), no. 2, 575–587; Available online at https://doi.org/10.2298/FIL1802575Q.
30. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, A representation for derangement numbers in terms of a tridiagonal determinant, Kragujevac Journal of Mathematics 42 (2018), no. 1, 7–14; Available online at https://doi.org/10.5937/KgJMath1801007F.
31. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Notes on a family of inhomogeneous linear ordinary differential equations, Advances and Applications in Mathematical Sciences 17 (2018), no. 4, 361–368.
32. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying and finding ordinary differential equations in terms of the Stirling numbers, The Korean Journal of Mathematics 26 (2018), no. 4, 675–681; Available online at https://doi.org/10.11568/kjm.2018.26.4.675.
33. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying differential equations concerning degenerate Bernoulli and Euler numbers, Transactions of A. Razmadze Mathematical Institute 172 (2018), no. 1, 90–94; Available online at http://dx.doi.org/10.1016/j.trmi.2017.08.001.
34. Feng Qi and Jiao-Lian Zhao, Some properties of the Bernoulli numbers of the second kind and their generating function, Bulletin of the Korean Mathematical Society 55 (2018), no. 6, 1909–1920; Available online at https://doi.org/10.4134/BKMS.b180039.
35. Feng Qi, Jiao-Lian Zhao, and Bai-Ni Guo, Closed forms for derangement numbers in terms of the Hessenberg determinants, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales-Serie A: Matemáticas 112 (2018), no. 4, 933–944; Available online at http://dx.doi.org/10.1007/s13398-017-0401-z.
36. Dongkyu Lim and Feng Qi, Some symmetric identities involving the Stirling polynomials under the finite symmetric group, Mathematics 6 (2018), no. 12, Article 332, 10 pages; Available online at https://doi.org/10.3390/math6120332.
37. Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, and Muhammad Arshad, Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric $k$-function, Journal of Inequalities and Applications (2018), 2018:135, 12 pages; Available online at https://doi.org/10.1186/s13660-018-1717-8.
38. Ye Shuang and Feng Qi, Integral inequalities of Hermite–Hadamard type for extended $s$-convex functions and applications, Mathematics 6 (2018), no. 11, Article 223, 12 pages; Available online at https://doi.org/10.3390/math6110223.
39. Ye Shuang and Feng Qi, Some integral inequalities for $s$-convex functions, Gazi University Journal of Science 31 (2018), no. 4, 1192–1200.
40. Li Yin and Feng Qi, Several series identities involving the Catalan numbers, Transactions of A. Razmadze Mathematical Institute 172 (2018), no. 3, 466–474; Available online at https://doi.org/10.1016/j.trmi.2018.07.001.
41. Li Yin and Feng Qi, Some functional inequalities for generalized error function, Journal of Computational Analysis and Applications 25 (2018), no. 7, 1366–1372.
42. Yan Hong, Dongkyu Lim, and Feng Qi, Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices, Journal of Inequalities and Applications (2018), 2018:155, 6 pages; Available online at https://doi.org/10.1186/s13660-018-1749-0.
43. Gauhar Rahman, Kottakkaran Sooppy Nisar, and Feng Qi, Some new inequalities of the Grüss type for conformable fractional integrals, AIMS Mathematics 3 (2018), no. 4, 575–583; Available online at https://doi.org/10.3934/Math.2018.4.575.
44. Bo-Yan Xi, Shu-Ping Bai, and Feng Qi, On integral inequalities of the Hermite–Hadamard type for co-ordinated $(\alpha,m_1)$-$(s,m_2)$-convex functions, Journal of Interdisciplinary Mathematics 21 (2018), no. 7-8, 1505–1518; Available online at https://doi.org/10.1080/09720502.2016.1247509.
45. Hong-Ping Yin, Jing-Yu Wang, and Feng Qi, Some integral inequalities of Hermite–Hadamard type for $s$-geometrically convex functions, Miskolc Mathematical Notes 19 (2018), no. 1, 699–705; Available online at https://doi.org/10.18514/MMN.2018.2451.

## Part Two: Preprints in 2018

1. Feng Qi, A logarithmically completely monotonic function involving the $q$-gamma function, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01803352.
2. Feng Qi, Determinantal expressions and recurrence relations for Fubini and Eulerian polynomials, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01853686v2.
3. Feng Qi, On bounds of the sine and cosine along straight lines on the complex plane, Preprints 2018, 2018090365, 5 pages; Available online at https://doi.org/10.20944/preprints201809.0365.v1.
4. Feng Qi, On generalized Fubini polynomials, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01853686v1.
5. Feng Qi and Bai-Ni Guo, An alternative proof for complete monotonicity of linear combinations of many psi functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01773131.
6. Feng Qi, Dongkyu Lim, and Ai-Qi Liu, Explicit expressions related to degenerate Cauchy numbers and their generating function, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01725045.
7. Feng Qi, Dongkyu Lim, and Yong-Hong Yao, Notes on two kinds of special values for the Bell polynomials of the second kind, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01757740.
8. Feng Qi and Ai-Qi Liu, Notes on complete monotonicity related to the difference of the psi and logarithmic functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01728682.
9. Feng Qi, Da-Wei Niu, and Dongkyu Lim, Notes on the Rodrigues formulas for two kinds of the Chebyshev polynomials, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01705040.
10. Feng Qi, Da-Wei Niu, Dongkyu Lim, and Bai-Ni Guo, Explicit formulas and identities on Bell polynomials and falling factorials, ResearchGate Preprint (2018), available online at https://doi.org/10.13140/RG.2.2.34679.52640.
11. Feng Qi, Da-Wei Niu, Dongkyu Lim, and Bai-Ni Guo, Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01769288.
12. Feng Qi, Da-Wei Niu, Dongkyu Lim, and Bai-Ni Guo, Some properties and an application of multivariate exponential polynomials, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01745173.
13. Feng Qi, Da-Wei Niu, Dongkyu Lim, and Yong-Hong Yao, Special values of the Bell polynomials of the second kind for some sequences and functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01766566.
14. Feng Qi, Gauhar Rahman, and Kottakkaran Sooppy Nisar, Convexity and inequalities related to extended beta and confluent hypergeometric functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01703900.
15. Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, and Muhammad Arshad, Some inequalities involving the extended gamma and beta functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01701647.
16. Gauhar Rahman, Feng Qi, Kottakkaran Sooppy Nisar, and Abdul Ghaffar, Some inequalities of the Hermite–Hadamard type concerning $k$-fractional conformable integrals, ResearchGate Preprint (2018), available online at https://doi.org/10.13140/RG.2.2.16226.63686.
17. Ravi Bhukya, Venkatalakshmi Akavaram, and Feng Qi, Some inequalities of the Turán type for confluent hypergeometric functions of the second kind, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01701854.
18. Gauhar Rahman, Kottakkaran Sooppy Nisar, and Feng Qi, Some new inequalities of the Grüss type for conformable fractional integrals, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01871682.
19. Bo-Yan Xi, Dan-Dan Gao, and Feng Qi, Integral inequalities of Hermite–Hadamard type for $(\alpha,s)$-convex and $(\alpha,s,m)$-convex functions, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01761678.
20. Siddra Habib, Shahid Mubeen, Muhammad Nawaz Naeem, and Feng Qi, Generalized $k$-fractional conformable integrals and related inequalities, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01788916.
21. Bo-Yan Xi, Ying Wu, Huan-Nan Shi, and Feng Qi, Generalizations of several inequalities related to multivariate geometric means, HAL archives (2018), available online at https://hal.archives-ouvertes.fr/hal-01865896.

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# A list of papers and preprints published by Feng Qi since 1993

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1. Some preprints posted at HAL archives
2. Some preprints posted at the ResearchGate website
3. Some preprints posted at arXiv.org
4. Some preprints posted in RGMIA Research Report Collection
5. Some journals specializing in mathematical inequalities
6. Some websites for electronic preprints of mathematical manuscripts
7. Journals specializing in number theory
8. Feng Qi, Some Papers Authored by Professor Dr. Feng Qi and Indexed by the Web of Science and the Engineering Village Since 1997, ResearchGate Technical Report.
9. Feng Qi, The List of Papers and Preprints Authored by Professor Dr. Feng Qi Since 1993, ResearchGate Technical Report.

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