IJPAM: Volume 108, No. 3 (2016)

DIFFERENTIAL EQUATIONS ASSOCIATED
WITH DEGENERATE BELL POLYNOMIALS

Taekyun Kim$^1$, Dae San Kim$^2$, Jong-Jin Seo$^3$
$^1$Department of Mathematics
Kwangwoon University
Seoul 139-701, REPUBLIC OF KOREA
$^2$Department of Mathematics
Sogang University
Seoul 121-742, REPUBLIC OF KOREA
$^3$Department of Applied Mathematics
Pukyong National University
Busan, REPUBLIC OF KOREA


Abstract. The degenerate Bell numbers and polynomials, recently introduced by Kim and Kim, turned out to be very useful for studying special numbers and polynomials and mathematical physics. In this paper, we derive a family of linear differential equations satisfied by the generating function of the degenerate Bell polynomials and give some explicit and interesting identities for those polynomials arising from the linear differential equations.

Received: May 22, 2016

AMS Subject Classification: 05A19, 11B83, 34A30

Key Words and Phrases: degenerate Bell polynomials and numbers, differential equations

Download paper from here.



DOI: 10.12732/ijpam.v108i3.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 3
Pages: 551 - 559


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).