# Some Papers Published in 2017 by Feng Qi

## 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) 126 (2016), no. 4, in press; 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 (2016), in press.
5. Feng Qi and Jacques Gélinas, Revisiting Bouvier’s paper on tangent numbers, Advances and Applications in Mathematical Sciences 16 (2017), no. 6, in press.
6. 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.
7. 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. 7, in press.
8. 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.
9. Feng Qi and Bai-Ni Guo, An explicit formula for derivative polynomials of the tangent function, Acta Universitatis Sapientiae Mathematica 9 (2017), no. 2, in press; Available online at http://dx.doi.org/10.1515/ausm-2017-????.
10. 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.
11. 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.
12. 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.
13. 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.
14. 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.
15. 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.
16. 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.
17. Feng Qi and Bai-Ni Guo, Some properties and generalizations of the Catalan, Fuss, and Fuss–Catalan numbers, Mathematical Analysis and Applications: Selected Topics, 35 pages, edited by H. Dutta, M. Ruzhansky, and R. P. Agarwal, Wiley, October 2017. (ISBN 9781119414346)
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, The reciprocal of the weighted geometric mean is a Stieltjes function, Boletín de la Sociedad Matemática Mexicana, Tercera Serie 23 (2017), in press; Available online at http://dx.doi.org/10.1007/s40590-016-0151-5.
21. 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.
22. 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.
23. 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 (2017), no. 2, 95–108; Available online at http://dx.doi.org/10.1007/s40065-017-0166-4.
24. 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.
25. 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 72 (2017), in press; Available online at http://dx.doi.org/10.1007/s10998-016-0181-9.
26. 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.
27. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying differential equations concerning degenerate Bernoulli and Euler numbers, Transactions of A. Razmadze Mathematical Institute (2017), in press; Available online at http://dx.doi.org/10.1016/j.trmi.2017.08.001.
28. 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 22 (2016), in press; Available online at http://dx.doi.org/10.1007/s40590-016-0085-y.
29. 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.
30. Kottakkaran Sooppy Nisar and Feng Qi, On solutions of fractional kinetic equations involving the generalized $k$-Bessel function, Note di Matematica (2017), in press.
31. 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.
32. 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.
33. 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.
34. 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.
35. 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.
36. 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.
37. 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, Abdullah Akkurt, and Hüseyin Yildirim, Catalan numbers, $k$-gamma and $k$-beta functions, and parametric integrals, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.19398.06721.
2. Feng Qi and Pietro Cerone, Some properties of the Fuss–Catalan numbers, Preprints 2017, 2017080056, 14 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0056.v1.
3. Feng Qi and Jacques Gélinas, Revisiting Bouvier’s paper on tangent numbers, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.34641.74089.
4. Feng Qi and Bai-Ni Guo, A closed form for the Stirling polynomials in terms of the Stirling numbers, Preprints 2017, 2017030055, 4 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0055.v1.
5. Feng Qi and Bai-Ni Guo, Expressing the generalized Fibonacci polynomials in terms of a tridiagonal determinant, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.32352.07680.
6. Feng Qi and Bai-Ni Guo, Identities of the Chebyshev polynomials, the inverse of a triangular matrix, and identities of the Catalan numbers, Preprints 2017, 2017030209, 21 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0209.v1.
7. Feng Qi and Bai-Ni Guo, Integral representations of Catalan numbers and their applications, Preprints 2017, 2017040040, 34 pages; Available online at http://dx.doi.org/10.20944/preprints201704.0040.v1.
8. Feng Qi and Bai-Ni Guo, Lévy–Khintchine representation of Toader–Qi mean, Preprints 2017, 2017030119, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0119.v1.
9. Feng Qi and Bai-Ni Guo, Several explicit and recursive formulas for the generalized Motzkin numbers, Preprints 2017, 2017030200, 11 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0200.v1.
10. Feng Qi and Dongkyu Lim, Integral representations for bivariate complex geometric mean and applications, Preprints 2017, 2017050039, 24 pages; Available online at http://dx.doi.org/10.20944/preprints201705.0039.v1.
11. Feng Qi, Dongkyu Lim, and Bai-Ni Guo, Some identities relating to Eulerian polynomials and involving Stirling numbers, Preprints 2017, 2017080004, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0004.v1.
12. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Simplification of coefficients in differential equations associated with higher order Frobenius–Euler numbers, Preprints 2017, 2017080017, 7 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0017.v1.
13. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind, Preprints 2017, 2017080026, 6 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0026.v1.
14. Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Some identities for a sequence of unnamed polynomials connected with the Bell polynomials}, Preprints 2017, 2017080044, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201708.0044.v1.
15. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Closed expressions of the Fibonacci polynomials in terms of tridiagonal determinants, Preprints 2017, 2017030208, 10 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0208.v1.
16. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Notes on a family of inhomogeneous linear ordinary differential equations, Preprints 2017, 2017040026, 5 pages; Available online at http://dx.doi.org/10.20944/preprints201704.0026.v1.
17. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying and finding nonlinear ordinary differential equations, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.28855.32166.
18. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying differential equations concerning degenerate Bernoulli and Euler numbers, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.12078.10566.
19. Feng Qi, Jing-Lin Wang, and Bai-Ni Guo, Simplifying two families of nonlinear ordinary differential equations, Preprints 2017, 2017030192, 6 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0192.v1.
20. Feng Qi and Jiao-Lian Zhao, Some properties of the Bernoulli numbers of the second kind and their generating function, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.13058.27848.
21. Feng Qi, Qing Zou, and Bai-Ni Guo, Identities of the Chebyshev polynomials, the inverse of a triangular matrix, and identities of the Catalan numbers, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.27344.71684.
22. 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, Preprints 2017, 2017030209, 25 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0209.v2.
23. Li Yin and Feng Qi, Several series identities involving the Catalan numbers, Preprints 2017, 2017030029, 11 pages; Available online at http://dx.doi.org/10.20944/preprints201703.0029.v1.
24. Jiao-Lian Zhao, Jing-Lin Wang, and Feng Qi, Derivative polynomials of a function related to the Apostol–Euler and Frobenius–Euler numbers, ResearchGate Working Paper (2017), available online at http://dx.doi.org/10.13140/RG.2.2.35572.35204.

1. 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.
2. Feng Qi, The List of Papers and Preprints Authored by Professor Dr. Feng Qi Since 1993, ResearchGate Technical Report.