Heun equations and combinatorial identities

Year 2021, Volume: 4 Issue: 1, 81 - 90, 01.03.2021

Adina Barar Gabriela Mocanu , Ioan Raşa

https://doi.org/10.33205/cma.810478

Abstract

Heun functions are important for many applications in
Mathematics, Physics and in thus in interdisciplinary phenomena modelling. They satisfy second order differential
equations and are usually represented by power series. Closed forms and
simpler polynomial representations are useful. Therefore, we study and derive 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.

Keywords

Heun functions, entropies, combinatorial identities

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