Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials

Author:

Qi Feng1ORCID

Affiliation:

1. Henan Polytechnic University

Abstract

In the paper, by virtue of the Fa\'a di Bruno formula and identities for the Bell polynomials of the second kind, the author simplifies coefficients in a family of ordinary differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference49 articles.

1. 1. L. Comtet, Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition, D. Reidel Publishing Co., Dordrecht and Boston, 1974; Available online at https://doi.org/10.1007/978-94-010-2196-8.

2. 2. B. N. Guo and F. Qi, An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions, Glob. J. Math. Anal. 2 (2014), no. 4, 243–248; Available online at https://doi.org/10.14419/gjma.v2i4.3310.

3. 3. T. Kim and D. S. Kim, Identities involving Bessel polynomials arising from linear differential equations, J. Comput. Anal. Appl. 23 (2017), no. 4, 684–692.

4. 4. T. Kim, D. S. Kim, and G. W. Jang, Some identities of partially degenerate Touchard polynomials arising from differential equations, Adv. Stud. Contemp. Math. 27 (2017), no. 2, 243–251; Available online at https://doi.org/10.23001/ascm2017.27.2.243.

5. 5. F. Qi, A simple form for coefficients in a family of nonlinear ordinary differential equations, Adv. Appl. Math. Sci. 17 (2018), no. 8, 555–561.

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