Some identities of degenerate Fubini polynomials arising from differential equations

Volume 11, Issue 3, pp 383--393 http://dx.doi.org/10.22436/jnsa.011.03.07

Publication Date: February 16, 2018 Submission Date: December 25, 2017 Revision Date: January 17, 2018 Accteptance Date: January 20, 2018

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Authors

Sung-Soo Pyo - Department of Mathematics Education, Silla University, Busan, Republic of Korea, Busan, Republic of Korea.

Abstract

Recently, Kim et al. have studied degenerate Fubini polynomials in [T. Kim, D. V. Dolgy, D. S. Kim, J. J. Seo, J. Nonlinear Sci. Appl., \({\bf 9}\) (2016), 2857--2864]. Jang and Kim presented some identities of Fubini polynomials arising from differential equations in [G.-W. Jang, T. Kim, Adv. Studies Contem. Math., \({\bf 28}\) (2018), to appear]. In this paper, we drive differential equations from the generating function of the degenerate Fubini polynomials. In addition, we obtain some identities from those differential equations.

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Keywords

• Differential equations
• Fubini polynomials
• degenerate Fubini polynomials

MSC

•  11B68
•  11B83
•  42A16

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