Solutions for the general, confluent and biconfluent Heun equations and their connection with Abel equations
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Publication:4662130
DOI10.1088/0305-4470/37/42/007zbMath1072.34002arXivmath-ph/0404014OpenAlexW2089081386MaRDI QIDQ4662130
Publication date: 30 March 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0404014
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (13)
Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ Factorization of some confluent Heun's differential equations ⋮ The d-dimensional softcore Coulomb potential and the generalized confluent Heun equation ⋮ Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians ⋮ Integrability and solvability of polynomial Liénard differential systems ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Liouvillian perturbations of black holes ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory ⋮ CORNELL AND KRATZER POTENTIALS WITHIN THE SEMIRELATIVISTIC TREATMENT ⋮ On properties of a deformed Freud weight ⋮ About derivatives of Heun's functions from polynomial transformations of hypergeometric equations ⋮ GLie: A MAPLE program for Lie supersymmetries of Grassmann-valued differential equations ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS
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