Elsevier

Discrete Applied Mathematics

Volume 155, Issue 18, 1 November 2007, Pages 2573-2584
Discrete Applied Mathematics

Several polynomials associated with the harmonic numbers

https://doi.org/10.1016/j.dam.2007.07.008Get rights and content
Under an Elsevier user license
open archive

Abstract

We develop polynomials in zC for which some generalized harmonic numbers are special cases at z=0. By using the Riordan array method, we explore interesting relationships between these polynomials, the generalized Stirling polynomials, the Bernoulli polynomials, the Cauchy polynomials and the Nörlund polynomials.

Keywords

Harmonic numbers
Riordan array
Bernoulli polynomials
Harmonic polynomials
Generalized Stirling polynomials
Multiple gamma functions
Cauchy numbers
Nörlund polynomials

Cited by (0)