Structural theory of special functions
type: Item
instance of: scholarly article
title: Structural theory of special functions
zbMATH Open document ID: 0952.33001
DOI: 10.1007/BF02557338
author: S. Yu. Slavyanov
published in: Theoretical and Mathematical Physics
publication date: 2001-01-18T00:00:00Z
review text: The author explains his concept of a classification of functions of mathematical physics which are solutions of some linear second order ordinary differential equations, more precisely of the hypergeometric, Heun and Painlevé equations. He uses his notion of the \(s\)-rank of a singularity, which is an integer or an odd-half integer not smaller than one. The paper is better understandable in connection with other papers indicated in the references.
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 34Mxx
zbMATH DE Number: 1465923
zbMATH Keywords: functions of hypergeometric type
zbMATH Keywords: Heun class
zbMATH Keywords: Painlevé class
reviewed by: Hans-Jürgen Glaeske
MaRDI profile type: Publication
cites work: Q5824493
cites work: Q5843703
cites work: Confluence of Fuchsian second-order differential equations
cites work: Q4857337
cites work: Painlevé equations as classical analogues of Heun equations
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description: scientific article; zbMATH DE number 1465923