On the weighted q-Bernoulli numbers and polynomials
Taekyun Kim
TL;DR
This paper introduces weighted q-Bernoulli numbers and polynomials, extending Carlitz's q-Bernoulli concepts, and derives new formulas and identities for these mathematical objects.
Contribution
It presents a new class of weighted q-Bernoulli numbers and polynomials, expanding the existing theory with novel formulas and identities.
Findings
Derived new formulas for weighted q-Bernoulli numbers and polynomials
Established identities connecting these new objects to existing q-Bernoulli concepts
Extended the theoretical framework of Carlitz's q-Bernoulli numbers
Abstract
In this paper we consider the weighted q-Bernoulli numbers and polynomials which are differnt type of Carlitz's q-Bernoulli numbers and polynomials. From these numbers and polynomials, we derive some interesting formulaes and identities.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematical functions and polynomials