Transformations of some Gauss hypergeometric functions

DOI10.1016/j.cam.2004.09.053zbMath1076.33002arXivmath/0310436OpenAlexW2171524618MaRDI QIDQ1772362

Raimundas Vidunas

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310436

zbMATH Keywords

Belyi functionshypergeometric equationalgebraic transformationsCoxeter decompositionpull-back transformation

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

Classifying (almost)-Belyi maps with five exceptional points ⋮ Computation of \(RS\)-pullback transformations for algebraic Painlevé VI solutions ⋮ Iterated elliptic and hypergeometric integrals for Feynman diagrams ⋮ A New Subclass of Certain Analytic Univalent Functions Associated with Hypergeometric Functions ⋮ A classification of coverings yielding Heun-to-hypergeometric reductions ⋮ Computation of highly ramified coverings ⋮ Darboux evaluations for hypergeometric functions with the projective monodromy \(\mathrm{PSL}(2,\mathbb{F}_7)\) ⋮ Hypergeometric functions over finite fields ⋮ Hypergeometric expressions for generating functions of walks with small steps in the quarter plane ⋮ Algebraic transformations of hypergeometric functions and automorphic forms on Shimura curves

Cites Work

• An algorithm for solving second order linear homogeneous differential equations
• Coxeter decompositions of hyperbolic polygons
• Divisible tilings in the hyperbolic plane
• Hypergeometric Functions, My Love
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