New Results and Matrix Representation for Daehee and Bernoulli Numbers and Polynomials
B. S. El-Desouky, Abdelfattah Mustafa
TL;DR
This paper introduces new matrix representations for various Daehee numbers and polynomials, simplifying proofs of existing results and deriving new relationships with Bernoulli numbers and polynomials.
Contribution
It presents novel matrix representations for Daehee and related numbers, enabling simpler proofs and new findings in their properties and connections.
Findings
New matrix representations for Daehee numbers and polynomials
Simplified proofs of existing Daehee results
New relationships between Daehee and Bernoulli numbers
Abstract
In this paper, we derive new matrix representation for Daehee numbers and polynomials, the lambda-Daehee numbers and polynomials and the twisted Daehee numbers and polynomials. This helps us to obtain simple and short proofs of many previous results on Daehee numbers and polynomials. Moreover, we obtained some new results for Daehee and Bernoulli numbers and polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research