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Research Article

A NOTE ON TYPE 2 DEGENERATE DAEHEE POLYNOMIALS AND NUMBERS OF THE SECOND KIND

W
Waseem A. Khan Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box: 1664, Al Khobar 31952, SAUDI ARABIA
M
M. Kamarujjama Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, INDIA
Volume 18, Issue 1 Pages 11-26 April 30, 2022 335 downloads
Article overview

Abstract

In this paper, we construct the type 2 degenerate Daehee numbers and polynomials of the second kind and their higher-order analogues, and investigate some properties of these numbers and polynomials. In addition, we give some new identities and relations between the type 2 degenerate Daehee polynomials of the second kind and degenerate Bernoulli polynomials of the second kind, an identity involving higher-order analogues of those polynomials and the degenerate Stirling numbers of the second kind, and an expression of higher-order analogues of those polynomials in terms of higher-order type 2 degenerate Bernoulli polynomials and the degenerate Stirling numbers of the first kind.

Keywords and Phrases

Type 2 degenerate Daehee polynomials and numbershigher-order type 2 degenerate Daehee polynomials and numbersStirling numbersdegenerate central factorial numbers.

AMS Subject Classification

11B68, 11B83, 11B73.

Reference information

How to Cite

Waseem A. Khan, M. Kamarujjama (2022). A NOTE ON TYPE 2 DEGENERATE DAEHEE POLYNOMIALS AND NUMBERS OF THE SECOND KIND. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 11-26.
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