Generalized spheroidal wave equation and limiting cases

DOI10.1063/1.2406057zbMath1121.34090arXivmath-ph/0611048OpenAlexW2013428841MaRDI QIDQ3442178

B. D. Bonorino Figueiredo

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0611048

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

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Cites Work

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• Ince’s limits for confluent and double-confluent Heun equations
• Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
• Classical and quantum motion in an Eguchi–Hanson space
• Spin-weighted angular spheroidal functions
• Schrödinger equation with inverse fourth-power potential, a differential equation with two irregular singular points
• The eigenvalue equation on the Eguchi–Hanson space
• Computational Aspects of Three-Term Recurrence Relations
• CERTAIN EXPANSIONS OF SOLUTIONS OF THE HEUN EQUATION