Note on the Higher-Order Derivatives of the Hyperharmonic Polynomials and the <em>r</em>-Stirling Polynomials of the First Kind

Note on the Higher-Order Derivatives of the Hyperharmonic Polynomials and the <em>r</em>-Stirling Polynomials of the First Kind

In this paper, we focus on the higher-order derivatives of the hyperharmonic polynomials, which are a generalization of the ordinary harmonic numbers. We determine the hyperharmonic polynomials and their successive derivatives in terms of the <i>r</i>-Stirling polynomials of the first ki...

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Bibliographic Details
Main Author: José L. Cereceda
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Axioms
Subjects:
hyperharmonic numbers
hyperharmonic polynomials
generating function
<i>r</i>-Stirling polynomials of the first kind
generalized Bernoulli polynomials
complete Bell polynomials
Online Access:https://www.mdpi.com/2075-1680/11/4/167

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https://www.mdpi.com/2075-1680/11/4/167

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