Normalization integrals of orthogonal Heun functions

DOI10.1063/1.532062zbMath0891.34023arXivfunct-an/9707004OpenAlexW3104096966MaRDI QIDQ4352188

Peter A. Becker

Publication date: 19 July 1998

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

Full work available at URL: https://arxiv.org/abs/funct-an/9707004

zbMATH Keywords

Heun functionssingular pointseigenvaluesboundary value problemsHeun's equationsecond-order Fuchsian equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Other functions coming from differential, difference and integral equations (33E30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Ordinary differential equations in the complex domain (34M99) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

Vortex structures inside spherical mesoscopic superconductor plus magnetic dipole ⋮ Exact analytical solutions of the wave function for some \(q\)-deformed potentials ⋮ Normal modes of oscillations of a rotating membrane with a rigid central insert (an application of Heun functions) ⋮ Exact solution for the hypergeometric Green’s function describing spectral formation in x-ray pulsars

Cites Work

• Die Lösung der Fuchsschen Differentialgleichung zweiter Ordnung durch hypergeometrische Polynome
• SOME DIFFERENTIAL EQUATIONS AND ASSOCIATED INTEGRAL EQUATIONS
• CERTAIN EXPANSIONS OF SOLUTIONS OF THE HEUN EQUATION

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