Author(s)

Rui Wang^*,   Wuyungaowa

Department of Mathematics, College of Sciences and Technology, Inner Mongolia University, Hohhot, China.

In this paper, we observe the generalized Harmonic numbers H_n,k,r (α,β). Using generating function, we investigate some new identities involving generalized Harmonic numbers H_n,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.

Generating Function, Riordan Arrays, Generalized Harmonic Numbers, Changhee Sequences, Daehee Sequences, Apostol Bernoulli Sequences, Degenerate Changhee-Genoocchi Sequences

Wang, R. and Wuyungaowa,  . (2022) Generalized Harmonic Numbers H_n,k,r (α,β) with Combinatorial Sequences. Journal of Applied Mathematics and Physics, 10, 1602-1618. doi: 10.4236/jamp.2022.105111.