Some relations of two type 2 polymomilas and discrete harmonic numbers and polynomials

2020/04/25 by Kim, Taekyun, Kim, Dae San · 1 citation
#11B73 #11B83 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2004.12142

Abstract

The aim of this paper is twofold. The first one is to find several relations between the type 2 higher-order degenerate Euler polynomials and the type 2 higher-order Changhee polynomials in connection with the degenerate stirling numbers of both kinds and Jindalrae-stirling numbers of both kinds. The second one is to introduce the discrete harmonic numbers and some related polynomials and numbers, and to derive their explicit expressions and an identity.

Cited by

• Hurwitz--Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers and Polynomials with Parameters (α,a)

Related

• Degenerate Changhee numbers and polynomials of the second kind
• Combinatorial identities related to degenerate Stirling numbers of the second kind
• Some identities of type 2 Degenerate Bernoulli polynomials of the second kind
• A note on degenerate poly-Bernoulli numbers and polynomials
• Degenerate Eulerian polynomials and numbers