# 在研究之门网站发表的预印本论文

1. Bai-Ni Guo and Feng Qi, Explicit formulas for special values of the Bell polynomials of the second kind and the Euler numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/2.1.3794.8808.
2. Bai-Ni Guo and Feng Qi, On inequalities for the exponential and logarithmic functions and means, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.5126.2885.
3. Bai-Ni Guo and Feng Qi, On the increasing monotonicity of a sequence, ResearchGate Dataset (2014), available online at http://dx.doi.org/10.13140/2.1.1791.3925.
4. Bai-Ni Guo and Feng Qi, Some inequalities and absolute monotonicity for modified Bessel functions of the first kind, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3740.1129.
5. Dongkyu Lim and Feng Qi, On the Appell type $\lambda$-Changhee polynomials, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3908.8487.
6. Mansour Mahmoud and Feng Qi, Three identities of Catalan-Qi numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3462.9607.
7. Feng Qi, A double inequality for ratios of Bernoulli numbers, ResearchGate Dataset (2014), available online at http://dx.doi.org/10.13140/2.1.2367.2962.
8. Feng Qi, A double inequality for ratios of the Bernoulli numbers, ResearchGate Dataset (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3461.2641.
9. Feng Qi, A logarithmically completely monotonic function involving the gamma function and originating from the Catalan numbers, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.1401.2009.
10. Feng Qi, Asymptotic expansions, complete monotonicity, and inequalities of the Catalan numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.4371.6321.
11. Feng Qi, Estimates of the Gap of Two Eigenvalues in the Schrödinger Operator and the First Eigenvalue of the Laplace Operator, The thesis supervised by Professor Yi-Pei Chen and submitted in April 1989 for the Master Degree of Science in Mathematics at Xiamen University in China, ResearchGate Theses (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2104.0802. (Chinese)
12. Feng Qi, Explicit formulas for the convolved Fibonacci numbers, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.2.36768.17927.
13. Feng Qi, How and what does it look like? ResearchGate Dataset (2014), available online at http://dx.doi.org/10.13140/2.1.4833.3448.
14. Feng Qi, Logarithmically complete monotonicity of a function related to the Catalan-Qi function, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.4324.1445.
15. Feng Qi, On sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.4089.9683.
16. Feng Qi, Some inequalities for the Bell numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2544.2721.
17. Feng Qi, Some properties and generalizations of the Catalan, Fuss, and Fuss-Catalan numbers, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.1778.3128.
18. Feng Qi, Some properties of the Touchard polynomials, ResearchGate Working Paper (2017), available online at https://doi.org/10.13140/RG.2.2.30022.16967.
19. 祁锋，与第二类Chebyshev多项式和Catalan数相关的一个矩阵之逆和几个恒等式，ResearchGate Presentation (2017), available online at https://doi.org/10.13140/RG.2.2.22832.46081.
20. Feng Qi, Two nice determinantal expressions for the Apostol–Bernoulli polynomials, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.2.33797.76004.
21. Feng Qi, Two product representations and several properties of the Fuss-Catalan numbers, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.1655.6004.
22. 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.
23. Feng Qi and Viera Čerňanová, Some discussions on a kind of improper integrals, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.2500.6969.
24. Feng Qi, Viera Čerňanová, and Yuri S. Semenov, On tridiagonal determinants and the Cauchy product of central Delannoy numbers, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.3772.6967.
25. 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.
26. Feng Qi and Bai-Ni Guo, Determinantal expressions of the Bernoulli polynomials, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.2.23731.43049.
27. Feng Qi and Bai-Ni Guo, Explicit formulas and nonlinear ODEs of generating functions for Eulerian polynomials, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.2.23503.69288.
28. 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.
29. Feng Qi and Bai-Ni Guo, Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/2.1.2733.3928.
30. Feng Qi and Bai-Ni Guo, Remarks on complete monotonicity of a function involving the gamma function, ResearchGate Dataset (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2378.2249.
31. Feng Qi and Bai-Ni Guo, The reciprocal of the weighted geometric mean is a Stieltjes transform, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.3024.9847.
32. Feng Qi and Bai-Ni Guo, The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.2.23822.36163.
33. Feng Qi and Bai-Ni Guo, Viewing some nonlinear ODEs and their solutions from the angle of derivative polynomials, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.4593.1285.
34. Feng Qi, Bai-Ni Guo, Viera Čerňanová, and Xiao-Ting Shi, Explicit expressions, Cauchy products, integral representations, convexity, and inequalities of central Delannoy numbers, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.4889.6886.
35. Feng Qi and Wen-Hui Li, Integral representations and properties of some functions involving the logarithmic function, ResearchGate Dataset (2014), available online at http://dx.doi.org/10.13140/2.1.1315.1367.
36. Feng Qi, Fang-Fang Liu, and Xiao-Ting Shi, Comments on two completely monotonic functions involving the $q$-trigamma function, ResearchGate Dataset (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3267.4401.
37. Feng Qi, Mansour Mahmoud, Xiao-Ting Shi, and Fang-Fang Liu, Some properties of the Catalan-Qi function related to the Catalan numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3810.7369.
38. Feng Qi, Cristinel Mortici, and Bai-Ni Guo, Some properties of a sequence arising from computation of the intersecting probability between a plane couple and a convex body, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.1176.0165.
39. 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 Working Paper (2017), available online at https://doi.org/10.13140/RG.2.2.36733.05603.
40. Feng Qi, Xiao-Ting Shi, and Pietro Cerone, A unified generalization of the Catalan, Fuss, Fuss-Catalan numbers and Catalan-Qi function, ResearchGate Working Paper (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3198.6000.
41. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Integral representations of the large and little Schröder numbers, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.1988.3288.
42. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Some properties of the Schröder numbers, ResearchGate Working Paper (2016), available online athttp://dx.doi.org/10.13140/RG.2.1.4727.7686.
43. Feng Qi, Xiao-Ting Shi, and Bai-Ni Guo, Two explicit formulas of the Schröder numbers, ResearchGate Working Paper (2016), available online at http://dx.doi.org/10.13140/RG.2.1.2676.3283.
44. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, An exponential representation for a function involving the gamma function and originating from the Catalan numbers, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.1086.4486.
45. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, An integral representation, complete monotonicity, and inequalities of the Catalan numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3754.4806.
46. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Expansions of the exponential and the logarithm of expansions and applications, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3309.2000.
47. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Several formulas for special values of the Bell polynomials of the second kind and applications, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.3230.1927.
48. Feng Qi, Xiao-Ting Shi, and Fang-Fang Liu, Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2462.1606.
49. 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, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2353.6800.
50. Feng Qi, Xiao-Ting Shi, Mansour Mahmoud, and Fang-Fang Liu, Schur-convexity of the Catalan-Qi function, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2434.4802.
51. 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.
52. 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.
53. Feng Qi and Chun-Fu Wei, Several closed expressions for the Euler numbers, ResearchGate Technical Report (2015), available online at http://dx.doi.org/10.13140/2.1.3474.7688.
54. 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.
55. 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.
56. Xiao-Ting Shi, Fang-Fang Liu, and Feng Qi, An integral representation of the Catalan numbers, ResearchGate Research (2015), available online at http://dx.doi.org/10.13140/RG.2.1.2273.6485.
57. Bo-Yan Xi and Feng Qi, Some integral inequalities of Hermite–Hadamard type for $s$-logarithmically convex functions, ResearchGate Dataset (2015), available online at http://dx.doi.org/10.13140/RG.2.1.4385.9044.
58. Bo-Yan Xi, Shu-Ping Bai, and Feng Qi, Some new inequalities of Hermite-Hadamard type for $(\alpha,m_1)$-$(s,m_2)$-convex functions on co-ordinates, ResearchGate Dataset (2015), available online at http://dx.doi.org/10.13140/2.1.2919.7126.
59. 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.