TITLE:
Generalized Harmonic Numbers Hn,k,r (α,β) with Combinatorial Sequences
AUTHORS:
Rui Wang, Wuyungaowa
KEYWORDS:
Generating Function, Riordan Arrays, Generalized Harmonic Numbers, Changhee Sequences, Daehee Sequences, Apostol Bernoulli Sequences, Degenerate Changhee-Genoocchi Sequences
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.5,
May
23,
2022
ABSTRACT: In this paper, we observe the generalized Harmonic numbers Hn,k,r (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers Hn,k,r (α,β) with Changhee sequences, Daehee sequences, Degenerate Changhee-Genoocchi sequences, Two kinds of degenerate Stirling numbers. Using Riordan arrays, we explore interesting relations between these polynomials, Apostol Bernoulli sequences, Apostol Euler sequences, Apostol Genoocchi sequences.