[1] | F. Qi, A new formula for the Bernoulli numbers of the second kind in terms of the Stirling numbers of the first kind, Publ. Inst. Math. (Beograd) (N.S.) 100(114) (2016), 243-249. |
|
[2] | F. Qi, Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind, Filomat 28 (2014), no. 2, 319-327. |
|
[3] | F. Qi and X.-J. Zhang, An integral representation, some inequalities, and complete monotonicity of the Bernoulli numbers of the second kind, Bull. Korean Math. Soc. 52 (2015), no. 3, 987-998. |
|
[4] | F. Qi and J.-L. Zhao, Some properties of the Bernoulli numbers of the second kind and their generating function, Research Gate Working Paper (2017). |
|
[5] | T. Kim, D. S. Kim, H. I. Kwon, and J. J. Seo, Revisit nonlinear differential equations associated with Bernoulli numbers of the second kind, Glob. J. Pure Appl. Math. 12 (2016), 1893-1901. |
|
[6] | S.-S. Pyo, T. Kim, and S.-H. Rim, Identities of the degenerate Daehee numbers with the Bernoulli numbers of the second kind arising from nonlinear differential equation, J. Nonlinear Sci. Appl. 10 (2017), no. 12, 6219-6228. |
|
[7] | D. V. Dolgy, L.-C. Jang, D.-S. Kim, T.-K. Kim, and J.-J. Seo, Differential equations associated with higher-order Bernoulli numbers of the second kind revisited, J. Anal. Appl. 14 (2016), no. 2, 107-121. |
|
[8] | F. Qi, X.-T. Shi, and F.-F. Liu, Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers, Acta Univ. Sapientiae Math. 8 (2016), no. 2, 282-297. |
|
[9] | L. Comtet, Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition, D. Reidel Publishing Co., Dordrecht and Boston, 1974. |
|
[10] | J. Quaintance and H. W. Gould, Combinatorial Identities for Stirling Numbers. The unpublished notes of H. W. Gould. With a foreword by George E. Andrews. World Scientific Publishing Co. Pte. Ltd., Singapore, 2016. |
|
[11] | F. Qi, D.-W. Niu, and B.-N. Guo, Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind, Preprints 2017, 2017080026, 6 pages. |
|
[12] | F. Qi, A simple form for coefficients in a family of nonlinear ordinary differential equations, Research Gate Preprint (2017). |
|
[13] | F. Qi, A simple form for coefficients in a family of ordinary differential equations related to the generating function of the Legendre polynomials, Research Gate Preprint (2017). |
|
[14] | F. Qi, Explicit formulas for the convolved Fibonacci numbers, ResearchGate Working Paper (2016). |
|
[15] | F. Qi, Simple forms for coefficients in two families of ordinary differential equations, Glob. J. Math. Anal. 6 (2018), no. 1, 7-9. |
|
[16] | F. Qi, Simplification of coefficients in two families of nonlinear ordinary differential equations, Research Gate Preprint (2017). |
|
[17] | F. Qi, Simplifying coefficients in a family of nonlinear ordinary differential equations, Acta Comment. Univ. Tartu. Math. (2018), in press; ResearchGate Preprint (2017). |
|
[18] | F. Qi, Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials, ResearchGate Preprint (2017). |
|
[19] | F. Qi, Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag-Leffer polynomials, Research Gate Preprint (2017). |
|
[20] | F. Qi, Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials, Research Gate Preprint (2017). |
|
[21] | F. Qi, The inverse of a matrix and several identities related to the Catalan numbers and the Chebyshev polynomials of the second kind, Research Gate Presentation (2017). |
|
[22] | F. Qi and B.-N. Guo, A diagonal recurrence relation for the Stirling numbers of the first kind, Appl. Anal. Discrete Math. 12 (2018), no. 1, in press. |
|
[23] | F. Qi and B.-N. Guo, Explicit formulas and recurrence relations for higher order Eulerian polynomials, Indag. Math. 28 (2017), no. 4, 884-891. |
|
[24] | F. Qi and B.-N. Guo, Some properties of the Hermite polynomials and their squares and generating functions, Preprints 2016, 2016110145, 14 pages. |
|
[25] | F. Qi and B.-N. Guo, Viewing some ordinary differential equations from the angle of derivative polynomials, Preprints 2016, 2016100043, 12 pages. |
|
[26] | F. Qi, D. Lim, and B.-N. Guo, Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM (2018), in press. |
|
[27] | F. Qi, D. Lim, and B.-N. Guo, Some identities relating to Eulerian polynomials and involving Stirling numbers, Preprints 2017, 2017080004, 10 pages. |
|
[28] | F. Qi, D. Lim, and A.-Q. Liu, Explicit expressions related to degenerate Cauchy numbers and their generating function, HAL archives (2018). |
|
[29] | F. Qi, D.-W. Niu, and B.-N. Guo, Simplification of coefficients in differential equations associated with higher order Frobenius-Euler numbers, Preprints 2017, 2017080017, 7 pages. |
|
[30] | F. Qi, D.-W. Niu, and B.-N. Guo, Some identities for a sequence of unnamed polynomials connected with the Bell polynomials, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 112 (2018), in press. |
|
[31] | F. Qi, X.-L. Qin, and Y.-H. Yao, The generating function of the Catalan numbers and lower triangular integer matrices, Preprints 2017, 2017110120, 12 pages. |
|
[32] | F. Qi, J.-L. Wang, and B.-N. Guo, Notes on a family of inhomogeneous linear ordinary differential equations, Adv. Appl. Math. Sci. 17 (2018), no. 4, 361-368. |
|
[33] | F. Qi, J.-L. Wang, and B.-N. Guo, Simplifying and finding nonlinear ordinary differential equations, ResearchGate Working Paper (2017). |
|
[34] | F. Qi, J.-L. Wang, and B.-N. Guo, Simplifying differential equations concerning degenerate Bernoulli and Euler numbers, Trans. A. Razmadze Math. Inst. 172 (2018), no. 1, 90-94. |
|
[35] | F. Qi, Q. Zou, and B.-N. 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. |
|
[36] | J.-L. Zhao, J.-L. Wang, and F. Qi, Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers, J. Nonlinear Sci. Appl. 10 (2017), no. 4, 1345-1349. |
|
[37] | F. Qi, Notes on several families of differential equations related to the generating function for the Bernoulli numbers of the second kind, ResearchGate Preprint (2017). |
|