Ince’s limits for confluent and double-confluent Heun equations

DOI10.1063/1.2104267zbMath1111.34064arXivmath-ph/0509013OpenAlexW2019909927MaRDI QIDQ3438683

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/0509013

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (16)

Generalized spheroidal wave equation and limiting cases ⋮ Vortex structures inside spherical mesoscopic superconductor plus magnetic dipole ⋮ Heun functions and some of their applications in physics ⋮ Integral relations for solutions of the confluent Heun equation ⋮ Regularity and a Liouville theorem for a class of boundary-degenerate second order equations ⋮ A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ Generalized Dirac oscillator in cosmic string space-time ⋮ Mass hierarchy, mass gap and corrections to Newton's law on thick branes with Poincaré symmetry ⋮ Convergence and applications of some solutions of the confluent Heun equation ⋮ One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers ⋮ A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole ⋮ The generalized \(sl(2,R)\) and \(su(1,1)\) in non-minimal constant-roll inflation ⋮ Solution of the Dirac equation in the rotating Bertotti–Robinson spacetime ⋮ Comment on “Dirac equation in the background of the Nutku helicoid metric” [J. Math. Phys. 48, 092301 (2007)] ⋮ Solutions for confluent and double-confluent Heun equations ⋮ Generalized confluent hypergeometric solutions of the Heun confluent equation

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• Spin-weighted angular spheroidal functions
• Schrödinger equation with inverse fourth-power potential, a differential equation with two irregular singular points
• Computational Aspects of Three-Term Recurrence Relations
• Mathieu function solutions to the radial Schrödinger equation for the −f2/r4 interaction
• Scattering of Ions by Polarization Forces

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