Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers-Reference-Cited by-同舟云学术

Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers

Published:2020-05-27 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Kim Taekyun,Kim Dae San,Jang Lee-Chae,Lee Hyunseok

Abstract

AbstractThe aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers of the first and second kinds. For this purpose, we first introduce Jindalrae–Stirling numbers of the first and second kinds as extensions of the notions of the degenerate Stirling numbers of the first and second kinds, and deduce several relations involving those special numbers. Then we introduce Jindalrae and Gaenari numbers and polynomials and obtain some explicit expressions and identities associated with those numbers and polynomials. In addition, we interpret our results by using umbral calculus.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-020-02701-1.pdf

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