Some Relations of Two Type 2 Polynomials and Discrete Harmonic Numbers and Polynomials

Autor:	Taekyun Kim, Dae San Kim
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	degenerate Stirling number of the first kind degenerate Stirling number of the second kind Jindalrae–Stirling number of the first kind Jindalrae–Stirling number of the second kind Type 2 degenerate Euler polunomial Type 2 Changhee polynomial Mathematics QA1-939
Zdroj:	Symmetry, Vol 12, Iss 6, p 905 (2020)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym12060905
Popis:	Harmonic numbers appear, for example, in many expressions involving Riemann zeta functions. Here, among other things, we introduce and study discrete versions of those numbers, namely the discrete harmonic numbers. The aim of this paper is twofold. The first is to find several relations between the Type 2 higher-order degenerate Euler polynomials and the Type 2 high-order Changhee polynomials in connection with the degenerate Stirling numbers of both kinds and Jindalrae–Stirling numbers of both kinds. The second is to define the discrete harmonic numbers and some related polynomials and numbers, and to derive their explicit expressions and an identity.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e2774059ba1845a7b0d7a2928ec6b694 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.