Some properties on the integral of the product of several Euler polynomials
Taekyun Kim
TL;DR
This paper investigates formulas for the product of Euler polynomials and derives new integral formulas for products of multiple Ruler polynomials, expanding understanding of their mathematical properties.
Contribution
It introduces new formulas for the product of Euler polynomials and extends these results to integrals involving multiple Ruler polynomials.
Findings
Derived formulas for the product of two Euler polynomials
Established integral formulas for multiple Ruler polynomials
Extended properties of Euler polynomials to Ruler polynomials
Abstract
In this paper, we study the formulae for a product of two product Euler polynomials. From this study, we derive some formulae for the integral of the product of two or more Ruler polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics