P-symbols, Heun Identities, and 3F2 Identities
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Publication:3407973
zbMath1185.33028arXiv0712.4299MaRDI QIDQ3407973
Publication date: 24 February 2010
Full work available at URL: https://arxiv.org/abs/0712.4299
generalized hypergeometric functiondesingularizationsHeun identitiesquadratic and quartic transformations
Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Classical hypergeometric functions, ({}_2F_1) (33C05)
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The third five-parametric hypergeometric quantum-mechanical potential ⋮ Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\) ⋮ Transformation formulas for the generalized hypergeometric function with integral parameter differences ⋮ Two-dimensional Dirac fermion in presence of an asymmetric vector potential ⋮ A classification of coverings yielding Heun-to-hypergeometric reductions ⋮ Resolving singularities and monodromy reduction of Fuchsian connections ⋮ Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities ⋮ Extensions of the classical theorems for very well-poised hypergeometric functions ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation ⋮ Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences
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