A note on the q-Genocchi numbers and polynomials
Taekyun Kim
TL;DR
This paper introduces the q-extension of Genocchi numbers and explores their relationships with q-Euler numbers, contributing to the understanding of q-analogs in number theory.
Contribution
It presents a new concept of q-Genocchi numbers and establishes relations with q-Euler numbers, expanding the theory of q-analogs.
Findings
Defined q-Genocchi numbers and polynomials
Derived relations between q-Genocchi and q-Euler numbers
Contributed to the theory of q-analogs in number theory
Abstract
In ths paper we discuss the new concept of the q-extension of Genocchi numbers and give the some relations between q-Genocchi polynomials and q-Euler numbers.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research