On generalized Heun equation with some mathematical properties

We study the analytic solutions of the generalized Heun equation, (α0 + α1 r + α2 r2 + α3 r3) y′′ + (β0 + β1 r + β2 r2) y′ + (ε0 + ε1 r) y = 0, where |α3| + |β2|≠ 0, and {αi}3i=0, {βi}2i=0, {εi}1i=0 are real parameters. The existence conditions for the polynomial solutions are given. A simple proced...

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Bibliographic Details
Main Author: Nasser Saad
Format: Article
Language:English
Published: CTU Central Library 2022-02-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/7583