Integral relations for solutions of the confluent Heun equation

DOI10.1016/j.amc.2015.01.094zbMath1338.34008arXiv1311.3703OpenAlexW2011162686MaRDI QIDQ299739

Bartolomeu D. B. Figueiredo, Léa Jaccoud El-Jaick

Publication date: 22 June 2016

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

Full work available at URL: https://arxiv.org/abs/1311.3703

zbMATH Keywords

ordinary differential equationsintegral relationsconfluent Heun equationspheroidal wave equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

Integral relations for solutions of the confluent Heun equation ⋮ A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ Convergence and applications of some solutions of the confluent Heun equation ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation

Uses Software

• DLMF

Cites Work

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• Ince’s limits for confluent and double-confluent Heun equations
• A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole
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• Confluent Heun equations: convergence of solutions in series of coulomb wavefunctions
• Solutions for confluent and double-confluent Heun equations
• Computational Aspects of Three-Term Recurrence Relations
• Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation

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