Heun functions and combinatorial identities
Adina Barar, Gabriela Raluca Mocanu, Ioan Rasa
TL;DR
This paper derives closed-form expressions for families of Heun functions linked to classical entropies and uncovers new combinatorial identities through comparative analysis of these functions.
Contribution
It introduces novel closed-form solutions for Heun functions associated with entropies and generalizes classical combinatorial identities.
Findings
Closed-form expressions for Heun functions related to entropies
New combinatorial identities derived from function comparisons
Generalization of classical combinatorial identities
Abstract
We give closed forms for several families of Heun functions related to classical entropies. By comparing two expressions of the same Heun function, we get several combinatorial identities generalizing some classical ones.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Advanced Mathematical Theories and Applications · Advanced Mathematical Identities