The Liouville–Neumann approximation of the regular solutions of the Heun's equations

DOI10.1080/10652461003747999zbMath1250.34012OpenAlexW2094945254MaRDI QIDQ3066372

Chelo Ferreira, José Luis López

Publication date: 10 January 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652461003747999

zbMATH Keywords

biconfluent Heun's differential equationconfluent Heun's differential equationHeun's class of differential equationsLiouville-Neumann expansion at a regular singular pointstandard Heun's differential equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Volterra integral equations (45D05) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (1)

A particular solution of Heun equation for Hulthen and Woods‐Saxon potentials

Cites Work

• Unnamed Item
• An algorithm to obtain global solutions of the double confluent Heun equation
• Asymptotic expansions for second-order linear difference equations
• Factorization of the Heun's differential operator.
• Factorization of some confluent Heun's differential equations
• The Liouville–Neumann expansion at a regular singular point
• Hypergeometric Expansions of Heun Polynomials
• On the derivation of asymptotic expansions for special functions from the corresponding differential equations
• On polynomial solutions of the Heun equation
• Second order differential equations with Dirichlet boundary conditions
• CERTAIN EXPANSIONS OF SOLUTIONS OF THE HEUN EQUATION
• The Liouville–Neumann expansion in one-dimensional boundary value problems

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