Confluent Heun equations: convergence of solutions in series of coulomb wavefunctions

DOI10.1088/1751-8113/46/8/085203zbMath1264.81175arXiv1209.4673OpenAlexW3098959560MaRDI QIDQ4915695

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

Publication date: 11 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4673

zbMATH Keywords

confluent Heun equationCoulomb wavefunctionsLeaver solutionstwo-sided infinite series

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finely holomorphic functions and topological function theory (30G12)

Related Items (6)

Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ Integral relations for solutions of the confluent Heun equation ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS

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