Incomplete beta-function expansions of the solutions to the confluent Heun equation
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Publication:5316315
DOI10.1088/0305-4470/38/28/L02zbMath1080.34571arXiv0909.1686MaRDI QIDQ5316315
Publication date: 12 September 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1686
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)
Related Items (6)
Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions ⋮ Two-dimensional problem of two Coulomb centers at small intercenter distances ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS
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