Structural theory of special functions

DOI10.1007/BF02557338zbMath0952.33001MaRDI QIDQ1567842

S. Yu. Slavyanov

Publication date: 18 January 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

functions of hypergeometric typeHeun classPainlevé class

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Ordinary differential equations in the complex domain (34Mxx)

Related Items (4)

Noncommutative correction to the cornell potential in heavy-quarkonium atoms ⋮ Quantum aspects of the integrability of the third Painlevé equation and a non-stationary time Schrödinger equation with the Morse potential ⋮ ``Quantizations of the second Painlevé equation and the problem of the equivalence of its \(L-A\) pairs ⋮ Painlevé equations and isomonodromic deformations of equations of the Heun class

Cites Work

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• Confluence of Fuchsian second-order differential equations
• Painlevé equations as classical analogues of Heun equations

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