Heun functions and combinatorial identities

2018/01/08 by Adina Barar, Adina Bărar, Gabriela Raluca Mocanu +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Quantum Mechanics and Non-Hermitian Physics #math.CA

paper · pdf · doi:10.48550/arxiv.1801.05054

Submitted to AADM

arxiv created 2018/01/08 · openalex publication_date 2018/01/08 · arxiv updated 2018/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Rényi entropy and Tsallis entropy associated with positive linear operators
• On reducing the Heun equation to the hypergeometric equation

Related

• Heun functions related to entropies
• Gamma function, Beta function and combinatorial identities
• Entropies and the derivatives of some Heun functions
• A combinatorial generalization of the Boson-Fermion correspondence
• Bounds for some entropies and special functions