A note on q-Volkenborn integration
T. Kim
TL;DR
This paper introduces a new q-analogue of Euler numbers and polynomials using q-Volkenborn integrals, expanding the mathematical tools available for q-calculus and number theory.
Contribution
It constructs a novel q-analogue of Euler numbers and polynomials through the use of q-Volkenborn integrals, providing new insights in q-calculus.
Findings
Defined new q-Euler numbers and polynomials
Established properties using q-Volkenborn integrals
Extended classical Euler concepts into q-analogue framework
Abstract
In this paper, we construct the new -analogue of the ordinary Euler numbers and polynomials by using the -Volkenborn integrals.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research