Special functions of the isomonodromy type

DOI10.1023/A:1006390032014zbMath1009.33003MaRDI QIDQ5937953

Alexander V. Kitaev

Publication date: 26 February 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

gamma functionGauss hypergeometric functionBessel functionisomonodromy deformationPainlevé transcendent

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (3)

Analytic properties of solutions to equations in the generalized hierarchy of the second Painlevé equation ⋮ Discrete integrable equations and special functions ⋮ Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations

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