Some papers and preprints in 2017 by Dr. Prof. Feng Qi

Some papers and preprints in 2017

Part One: Formally published papers in 2017

1. Feng Qi, Bounding the difference and ratio between the weighted arithmetic and geometric means, International Journal of Analysis and Applications 13 (2017), no. 2, 132–135.
2. Feng Qi, Parametric integrals, the Catalan numbers, and the beta function, Elemente der Mathematik 72 (2017), no. 3, 103–110; Available online at http://dx.doi.org/10.4171/EM/332.
3. Feng Qi, Some inequalities for the Bell numbers, Proceedings of the Indian Academy of Sciences (Mathematical Sciences) 127 (2017), no. 4, 551–564; Available online at http://dx.doi.org/10.1007/s12044-017-0355-2.
4. Feng Qi, Serkan Araci, and Mehmet Acıkgöz, On an analogue of Euler polynomials and related to extended fermionic $p$-adic integrals on $\mathbb{Z}_p$, Iranian Journal of Science and Technology, Transaction A: Science 41 (2017), no. 3, 613–618; Available online at https://doi.org/10.1007/s40995-017-0274-1.
5. Feng Qi and Jacques Gélinas, Revisiting Bouvier’s paper on tangent numbers, Advances and Applications in Mathematical Sciences 16 (2017), no. 8, 275–281.
6. Feng Qi and Bai-Ni Guo, A closed form for the Stirling polynomials in terms of the Stirling numbers, Tbilisi Mathematical Journal 10 (2017), no. 4, 153–158; Available online at https://doi.org/10.1515/tmj-2017-0053.
7. Feng Qi and Bai-Ni Guo, A criterion to justify a holomorphic function, Global Journal of Mathematical Analysis 5 (2017), no. 1, 24–26; Available online at http://dx.doi.org/10.14419/gjma.v5i1.7398.
8. Feng Qi and Bai-Ni Guo, A determinantal expression and a recurrence relation for the Euler polynomials, Advances and Applications in Mathematical Sciences 16 (2017), no. 9, 297–309.
9. Feng Qi and Bai-Ni Guo, Alternative proofs for summation formulas of some trigonometric series, Global Journal of Mathematical Analysis 5 (2017), no. 2, 44–46; Available online at http://dx.doi.org/10.14419/gjma.v5i2.7471.
10. Feng Qi and Bai-Ni Guo, An explicit formula for derivative polynomials of the tangent function, Acta Universitatis Sapientiae Mathematica 9 (2017), no. 2, 348–359; Available online at http://dx.doi.org/10.1515/ausm-2017-0026.
11. Feng Qi and Bai-Ni Guo, Explicit and recursive formulas, integral representations, and properties of the large Schröder numbers, Kragujevac Journal of Mathematics 41 (2017), no. 1, 121–141; Available online at https://doi.org/10.5937/KgJMath1701121F.
12. Feng Qi and Bai-Ni Guo, Explicit formulas and recurrence relations for higher order Eulerian polynomials, Indagationes Mathematicae 28 (2017), no. 4, 884–891; Available online at https://doi.org/10.1016/j.indag.2017.06.010.
13. Feng Qi and Bai-Ni Guo, Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials, Mediterranean Journal of Mathematics 14 (2017), no. 3, Article 140, 14 pages; Available online at http://dx.doi.org/10.1007/s00009-017-0939-1.
14. Feng Qi and Bai-Ni Guo, Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant, Le Matematiche 72 (2017), no. 1, 167–175; Available online at http://dx.doi.org/10.4418/2017.72.1.13.
15. Feng Qi and Bai-Ni Guo, Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function, Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas 111 (2017), no. 2, 425–434; Available online at http://dx.doi.org/10.1007/s13398-016-0302-6.
16. Feng Qi and Bai-Ni Guo, Integral representations of the Catalan numbers and their applications, Mathematics 5 (2017), no. 3, Article 40, 31 pages; Available online at http://dx.doi.org/10.3390/math5030040.
17. Feng Qi and Bai-Ni Guo, Some explicit and recursive formulas of the large and little Schröder numbers, Arab Journal of Mathematical Sciences 23 (2017), no. 2, 141–147; Available online at http://dx.doi.org/10.1016/j.ajmsc.2016.06.002.
18. Feng Qi and Bai-Ni Guo, Some properties of the average numbers of comparisons used by the quicksort, Journal of Mathematical Analysis 8 (2017), no. 2, 123–128.
19. Feng Qi and Bai-Ni Guo, The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform, Journal of Computational and Applied Mathematics 311 (2017), 165–170; Available online at http://dx.doi.org/10.1016/j.cam.2016.07.006.
20. Feng Qi and Bai-Ni Guo, Two nice determinantal expressions and a recurrence relation for the Apostol–Bernoulli polynomials, Journal of the Indonesian Mathematical Society 23 (2017), no. 1, 81–87; Available online at http://dx.doi.org/10.22342/jims.23.1.274.81-87.
21. Feng Qi and Mansour Mahmoud, Bounding the gamma function in terms of the trigonometric and exponential functions, Acta Scientiarum Mathematicarum 83 (2017), no. 1-2, 125–141; Available online at http://dx.doi.org/10.14232/actasm-016-813-x.
22. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Expansions of the exponential and the logarithm of power series and applications, Arabian Journal of Mathematics 6 (2017), no. 2, 95–108; Available online at http://dx.doi.org/10.1007/s40065-017-0166-4.
23. Feng Qi, Xiao-Ting Shi, Fang-Fang Liu, and Dmitry V. Kruchinin, Several formulas for special values of the Bell polynomials of the second kind and applications, Journal of Applied Analysis and Computation 7 (2017), no. 3, 857–871; Available online at http://dx.doi.org/10.11948/2017054.
24. Feng Qi, Xiao-Ting Shi, Fang-Fang Liu, and Zhen-Hang Yang, A double inequality for an integral mean in terms of the exponential and logarithmic means, Periodica Mathematica Hungarica 75 (2017), no. 2, 180–189; Available online at http://dx.doi.org/10.1007/s10998-016-0181-9.
25. Feng Qi, Xiao-Ting Shi, Mansour Mahmoud, and Fang-Fang Liu, The Catalan numbers: a generalization, an exponential representation, and some properties, Journal of Computational Analysis and Applications 23 (2017), no. 5, 937–944.
26. Feng Qi, Xiao-Jing Zhang, and Wen-Hui Li, The harmonic and geometric means are Bernstein functions, Boletín de la Sociedad Matemática Mexicana, Tercera Serie 23 (2017), no. 2, 713–736; Available online at http://dx.doi.org/10.1007/s40590-016-0085-y.
27. Praveen Agarwal, Feng Qi, Mehar Chand, and Shilpi Jain, Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials, Journal of Computational and Applied Mathematics 313 (2017), 307–317; Available online at http://dx.doi.org/10.1016/j.cam.2016.09.034.
28. Kottakkaran Sooppy Nisar and Feng Qi, On solutions of fractional kinetic equations involving the generalized $k$-Bessel function, Note di Matematica 37 (2017), no.　2, 11–20; Available online at https://doi.org/10.1285/i15900932v37n2p11.
29. Ye Shuang and Feng Qi, Integral inequalities of the Hermite–Hadamard type for $(\alpha,m)$-GA-convex functions, Journal of Nonlinear Sciences and Applications 10 (2017), no. 4, 1854–1860; Available online at http://dx.doi.org/10.22436/jnsa.010.04.45.
30. Shu-Hong Wang and Feng Qi, Hermite–Hadamard type inequalities for $s$-convex functions via Riemann-Liouville fractional integrals, Journal of Computational Analysis and Applications 22 (2017), no. 6, 1124–1134.
31. Jiao-Lian Zhao and Feng Qi, Two explicit formulas for the generalized Motzkin numbers, Journal of Inequalities and Applications 2017, 2017:44, 8 pages; Available online at http://dx.doi.org/10.1186/s13660-017-1313-3.
32. Jun Zhang, Zhi-Li Pei, and Feng Qi, Some integral inequalities of Hermite–Hadamard type for $\varepsilon$-convex functions, Turkish Journal of Analysis and Number Theory 5 (2017), no. 3, 117–120; Available online at http://dx.doi.org/10.12691/tjant-5-3-5.
33. Jiao-Lian Zhao, Jing-Lin Wang, and Feng Qi, Derivative polynomials of a function related to the Apostol–Euler and Frobenius–Euler numbers, Journal of Nonlinear Sciences and Applications 10 (2017), no. 4, 1345–1349; Available online at http://dx.doi.org/10.22436/jnsa.010.04.06.
34. Chun-Ying He, Yan Wang, Bo-Yan Xi, and Feng Qi, Hermite-Hadamard type inequalities for $(\alpha,m)$-HA and strongly $(\alpha,m)$-GA convex functions, Journal of Nonlinear Sciences and Applications 10 (2017), no. 1, 205–214; Available online at http://dx.doi.org/10.22436/jnsa.010.01.20.
35. Jun Zhang, Zhi-Li Pei, Gao-Chao Xu, Xiao-Hui Zhou, and Feng Qi, Integral inequalities of extended Simpson type for $(\alpha,m)$-$\varepsilon$-convex functions, Journal of Nonlinear Sciences and Applications 10 (2017), no. 1, 122–129; Available online at http://dx.doi.org/10.22436/jnsa.010.01.12.

Part Two: Preprints in 2017

1. Feng Qi, A double inequality for the ratio of two consecutive Bernoulli numbers, MDPI Preprints 2017, 2017080099, 7 pages; Available online at https://doi.org/10.20944/preprints201708.0099.v1.
2. Feng Qi, A simple form for coefficients in a family of nonlinear ordinary differential equations, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.13392.81928.
3. Feng Qi, A simple form for coefficients in a family of ordinary differential equations related to the generating function of the Legendre polynomials, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.27365.09446.
4. Feng Qi, Integral representations for multivariate logarithmic polynomials, MDPI Preprints 2017, 2017090112, 11 pages; Available online at https://doi.org/10.20944/preprints201709.0112.v1.
5. Feng Qi, Notes on several families of differential equations related to the generating function for the Bernoulli numbers of the second kind, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.13291.23843.
6. Feng Qi, On multi-order logarithmic polynomials and their explicit formulas, recurrence relations, and inequalities, MDPI Preprints 2017, 2017090034, 11 pages; Available online at https://doi.org/10.20944/preprints201709.0034.v1.
7. Feng Qi, Simple forms for coefficients in two families of ordinary differential equations, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.10692.73602.
8. Feng Qi, Simplification of coefficients in two families of nonlinear ordinary differential equations, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.30196.24966.
9. Feng Qi, Simplifying coefficients in a family of nonlinear ordinary differential equations, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.23328.07687.
10. Feng Qi, Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.13602.53448.
11. Feng Qi, Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag–Leffler polynomials, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.27758.31049.
12. Feng Qi, Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.19946.41921.
13. Feng Qi, Some inequalities of the Bell polynomials, MDPI Preprints 2017, 2017080079, 10 pages; Available online at https://doi.org/10.20944/preprints201708.0079.v1.
14. Feng Qi, Some inequalities of the Bell polynomials, MDPI Preprints 2017, 2017080079, 9 pages; Available online at https://doi.org/10.20944/preprints201708.0079.v2.
15. Feng Qi, Some properties of the Touchard polynomials, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.30022.16967.
16. Feng Qi, Abdullah Akkurt, and Hüseyin Yildirim, Catalan numbers, $k$-gamma and $k$-beta functions, and parametric integrals, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.19398.06721.
17. Feng Qi and Pietro Cerone, Some properties of the Fuss–Catalan numbers, MDPI Preprints 2017, 2017080056, 14 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0056.v1.
18. Feng Qi and Jacques Gélinas, Revisiting Bouvier’s paper on tangent numbers, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.34641.74089.
19. Feng Qi and Bai-Ni Guo, A closed form for the Stirling polynomials in terms of the Stirling numbers, MDPI Preprints 2017, 2017030055, 4 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0055.v1.
20. Feng Qi and Bai-Ni Guo, Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.32352.07680.
21. Feng Qi and Bai-Ni Guo, Identities of the Chebyshev polynomials, the inverse of a triangular matrix, and identities of the Catalan numbers, MDPI Preprints 2017, 2017030209, 21 pages; Available online at https://doi.org/10.20944/preprints201703.0209.v1.
22. Feng Qi and Bai-Ni Guo, Integral representations of Catalan numbers and their applications, MDPI Preprints 2017, 2017040040, 34 pages; Available online at http://dx.doi.org/10.20944/preprints201704.0040.v1.
23. Feng Qi and Bai-Ni Guo, Lévy–Khintchine representation of Toader–Qi mean, MDPI Preprints 2017, 2017030119, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0119.v1.
24. Feng Qi and Bai-Ni Guo, Several explicit and recursive formulas for the generalized Motzkin numbers, MDPI Preprints 2017, 2017030200, 11 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0200.v1.
25. Feng Qi and Dongkyu Lim, Integral representations for bivariate complex geometric mean and applications, MDPI Preprints 2017, 2017050039, 24 pages; Available online at http://dx.doi.org/10.20944/preprints201705.0039.v1.
26. Feng Qi, Dongkyu Lim, and Bai-Ni Guo, Some identities relating to Eulerian polynomials and involving Stirling numbers, MDPI Preprints 2017, 2017080004, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0004.v1.
27. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Simplification of coefficients in differential equations associated with higher order Frobenius–Euler numbers, MDPI Preprints 2017, 2017080017, 7 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0017.v1.
28. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind, MDPI Preprints 2017, 2017080026, 6 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0026.v1.
29. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Some identities for a sequence of unnamed polynomials connected with the Bell polynomials, MDPI Preprints 2017, 2017080044, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0044.v1.
30. Feng Qi, Da-Wei Niu, Dongkyu Lim, and Bai-Ni Guo, Generalizations of the Bell numbers and polynomials and their properties, MDPI Preprints 2017, 2017080090, 12 pages; Available online at https://doi.org/10.20944/preprints201708.0090.v1.
31. Feng Qi, Da-Wei Niu, Dongkyu Lim, and Bai-Ni Guo, A unified generalization of the Bell numbers and the Touchard polynomials and its properties, ResearchGate Preprint (2017), available online at https://doi.org/10.13140/RG.2.2.36733.05603.
32. Feng Qi, Xiao-Long Qin, and Yong-Hong Yao, The generating function of the Catalan numbers and lower triangular integer matrices, MDPI Preprints 2017, 2017110120, 12 pages; Available online at https://doi.org/10.20944/preprints201711.0120.v1.
33. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Closed expressions of the Fibonacci polynomials in terms of tridiagonal determinants, MDPI Preprints 2017, 2017030208, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0208.v1.
34. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Notes on a family of inhomogeneous linear ordinary differential equations, MDPI Preprints 2017, 2017040026, 5 pages; Available online at http://dx.doi.org/10.20944/preprints201704.0026.v1.
35. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying and finding nonlinear ordinary differential equations, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.28855.32166.
36. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying differential equations concerning degenerate Bernoulli and Euler numbers, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.12078.10566.
37. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying two families of nonlinear ordinary differential equations, MDPI Preprints 2017, 2017030192, 6 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0192.v1.
38. Feng Qi and Jiao-Lian Zhao, Some properties of the Bernoulli numbers of the second kind and their generating function, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.13058.27848.
39. Feng Qi, Qing Zou, and Bai-Ni Guo, Some identities and a matrix inverse related to the Chebyshev polynomials of the second kind and the Catalan numbers, MDPI Preprints 2017, 2017030209, 25 pages; Available online at https://doi.org/10.20944/preprints201703.0209.v2.
40. Li Yin and Feng Qi, Several series identities involving the Catalan numbers, MDPI Preprints 2017, 2017030029, 11 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0029.v1.
41. Praveen Agarwal, Mohamed Jleli, and Feng Qi, Extended Weyl fractional integrals and their inequalities, arXiv preprint (2017), available online at https://arxiv.org/abs/1705.03131. (Withdrawn)
42. Jiao-Lian Zhao, Jing-Lin Wang, and Feng Qi, Derivative polynomials of a function related to the Apostol–Euler and Frobenius–Euler numbers, ResearchGate Preprint (2017), available online at http://dx.doi.org/10.13140/RG.2.2.35572.35204.

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Related Links-相关链接

1. A list of papers and preprints published by Feng Qi since 1993
2. Classifications of some papers

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