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DARBOUX EVALUATIONS OF ALGEBRAIC GAUSS HYPERGEOMETRIC FUNCTIONS

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Publication:2864700
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DOI10.2206/kyushujm.67.249zbMath1279.33007arXivmath/0504264OpenAlexW2259905932MaRDI QIDQ2864700

Raimundas Vidunas

Publication date: 26 November 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504264


zbMATH Keywords

monodromyGauss hypergeometric functionpull-back transformationsSchwarz list


Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Classical hypergeometric functions, ({}_2F_1) (33C05)


Related Items (4)

Algebraic and abelian solutions to the projective translation equation ⋮ Dihedral evaluations of hypergeometric functions with the Kleinian projective monodromy ⋮ Darboux evaluations for hypergeometric functions with the projective monodromy \(\mathrm{PSL}(2,\mathbb{F}_7)\) ⋮ Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions




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