About derivatives of Heun's functions from polynomial transformations of hypergeometric equations

DOI10.1016/j.amc.2008.12.049zbMath1175.34008OpenAlexW2029061746MaRDI QIDQ1008610

André Ronveaux, Mahouton Norbert Hounkonnou

Publication date: 30 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.049

zbMATH Keywords

hypergeometric functionsHeun's differential equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30)

Related Items (7)

New indefinite integrals of confluent Heun functions ⋮ Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians ⋮ On the derivatives of the Heun functions ⋮ New indefinite integrals of Heun functions ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials ⋮ Extension of Nikiforov-Uvarov method for the solution of Heun equation

Cites Work

• On reducing the Heun equation to the hypergeometric equation
• Quelques rélations fondamentales entre solutions de l'équation biconfluente de Heun
• Factorization of the Heun's differential operator.
• Factorization of some confluent Heun's differential equations
• Heun’s Equation and the Hypergeometric Equation
• Heun equation, Teukolsky equation, and type-D metrics
• New solutions of Heun s general equation
• Solutions for the general, confluent and biconfluent Heun equations and their connection with Abel equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: About derivatives of Heun's functions from polynomial transformations of hypergeometric equations