Generalized hypergeometric solutions of the Heun equation
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Publication:2193665
DOI10.1134/S0040577920010018zbMath1450.34065arXiv1802.04263MaRDI QIDQ2193665
Publication date: 20 August 2020
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.04263
Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Classical hypergeometric functions, ({}_2F_1) (33C05) Linear ordinary differential equations and systems in the complex domain (34M03)
Related Items
A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ An application of Heun functions in the quantum mechanics of a constrained particle ⋮ Quasinormal modes of Kerr–de Sitter black holes via the Heun function ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation
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Cites Work
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- Antiquantization of deformed Heun-class equations
- A classification of coverings yielding Heun-to-hypergeometric reductions
- Belyi functions for hyperbolic hypergeometric-to-Heun transformations
- Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
- On reducing the Heun equation to the hypergeometric equation
- Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients
- Heun functions and some of their applications in physics
- Schrödinger potentials solvable in terms of the general Heun functions
- Symmetries and apparent singularities for the simplest Fuchsian equations
- Co-recursive associated Jacobi polynomials
- Euler integral symmetry and the deformed hypergeometric equation
- Upper and lower limits for the number of bound states in a given central potential
- Parametric Transformations between the Heun and Gauss Hypergeometric Functions
- The solution of a class of free boundary problems
- Exact product forms for the simple cubic lattice Green function II
- Heun's equation, generalized hypergeometric function and exceptional Jacobi polynomial
- P-symbols, Heun Identities, and 3F2 Identities
- Die Lösung der linearen Differentialgleichung 2. Ordnung um zwei einfache Singularitäten durch Reihen nach hypergeometrischen Funktionen.
- Pseudo-steady-state solutions for solidification in a wedge
- Applications of Fuchsian differential equations to free boundary problems
- Solutions for the general, confluent and biconfluent Heun equations and their connection with Abel equations
- Removing false singular points as a method of solving ordinary differential equations
- New quasi-exactly solvable periodic potentials
- The Klein–Gordon–Fock equation in the curved spacetime of the Kerr–Newman (anti) de Sitter black hole
- On the Number of Bound States in a Central Field of Force
- CERTAIN EXPANSIONS OF SOLUTIONS OF THE HEUN EQUATION
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