Lie algebras and recurrence relations IV: Representations of the Euclidean group and Bessel functions

DOI10.1007/BF00047669zbMath0860.33013WikidataQ115395289 ScholiaQ115395289MaRDI QIDQ1914900

Philip Feinsilver

Publication date: 5 August 1996

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

zbMATH Keywords

limit theoremBessel functionsLommel polynomialsquantum probabilityAiry functionsEuclidean group

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Other nonassociative rings and algebras (17D99)

Related Items (1)

Some basic Lommel polynomials

Cites Work

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• Lie algebras and recurrence relations. I
• Representations of Lie groups and multidimensional special functions
• Representations and stochastic processes on groups of type-H
• Lie Algebraic Solution of Linear Differential Equations
• On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials

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