Some identities involving Gegenbauer polynomials
Dae San Kim, Taekyun Kim, Seog-Hoon Rim
TL;DR
This paper explores new mathematical identities related to Gegenbauer polynomials, derived from their orthogonality properties, contributing to the theoretical understanding of these special functions.
Contribution
It introduces novel identities involving Gegenbauer polynomials based on their orthogonality, expanding the theoretical framework of special functions.
Findings
Derived new identities from orthogonality of Gegenbauer polynomials
Enhanced theoretical understanding of Gegenbauer polynomial properties
Potential applications in mathematical analysis and physics
Abstract
In this paper we derive some interesting identities arising from the orhtogonality of gegenbauer polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Mathematical Inequalities and Applications