Hypergeometric type functions and their symmetries

DOI10.1007/s00023-013-0282-4zbMath1305.33012arXiv1305.3113OpenAlexW2005966137WikidataQ59399379 ScholiaQ59399379MaRDI QIDQ398727

Jan Dereziński

Publication date: 15 August 2014

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3113

zbMATH Keywords

hypergeometric functionsdifferential equationssymmetriesBessel functionsconfluent hypergeometric functionsGegenbauer equationHermite equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (9)

An efficient series approximation for the Lévy \(\alpha\)-stable symmetric distribution ⋮ Estimation of stress-strength reliability for the multivariate SGPII distribution ⋮ Effective binding potential from Casimir interactions: the case of the Bose gas ⋮ On the Weyl symbol of the resolvent of the harmonic oscillator ⋮ Berezin symbols on the unit sphere of ℂⁿ ⋮ First order linear differential equations with involutive delay and hypergeometric functions ⋮ From Heun class equations to Painlevé equations ⋮ Short hyperuniform random walks ⋮ From conformal group to symmetries of hypergeometric type equations

Uses Software

• DLMF

Cites Work

• Lie theory and special functions
• The Factorization Method
• An Essay Toward a Unified Theory of Special Functions. (AM-18)
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