Some papers and preprints in 2018 by Dr. Prof. Feng Qi

Some papers and preprints 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 announced in 2018

1. Feng Qi, A logarithmically completely monotonic function involving the $q$-gamma function, HAL preprint (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 preprint (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, MDPI Preprints 2018, 2018090365, 5 pages; Available online at https://doi.org/10.20944/preprints201809.0365.v1.
4. Feng Qi, On generalized Fubini polynomials, HAL preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (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 preprint (2018), available online at https://hal.archives-ouvertes.fr/hal-01865896.

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Related links

• A list of papers published by Feng Qi since 1993
• Classifications of some papers
• Some journals and monographs in which Feng Qi published papers