Convergence and applications of some solutions of the confluent Heun equation
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Publication:1733462
DOI10.1016/J.AMC.2016.03.003zbMath1410.34264OpenAlexW2317994826MaRDI QIDQ1733462
Bartolomeu D. B. Figueiredo, Léa Jaccoud El-Jaick
Publication date: 21 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.003
Generalized hypergeometric series, ({}_pF_q) (33C20) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)
Related Items (2)
A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation
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Cites Work
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- Integral relations for solutions of the confluent Heun equation
- One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers
- Mass hierarchy, mass gap and corrections to Newton's law on thick branes with Poincaré symmetry
- Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
- Ince’s limits for confluent and double-confluent Heun equations
- Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries
- A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole
- Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
- Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
- Theory and computation of spheroidal wavefunctions
- On some solutions to generalized spheroidal wave equations and applications
- Analytical solutions to the generalized spheroidal wave equation and the Green’s function of one-electron diatomic molecules
- Solutions for confluent and double-confluent Heun equations
- Computational Aspects of Three-Term Recurrence Relations
- Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation
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