Die Laguerre-Pinney-Transformation

DOI10.1007/BF02190163zbMath0462.44002OpenAlexW2018999425MaRDI QIDQ1153305

Hans-Jürgen Glaeske

Publication date: 1981

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136857

zbMATH Keywords

convolutioninversion formulaLaguerre-Pinney transformationLaguerre transformWeierstrass-Laguerre transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Operational properties of a generalized Hermite transformation ⋮ On a hybrid laguerre-fourier transform ⋮ On the inversion of integral transforms associated with Sturm-Liouville problems ⋮ Some remarks on the theory of the Laguerre-Pinney transformation ⋮ On the maximum value of a confluent hypergeometric function ⋮ Factorization of integral transformations of convolution type

Cites Work

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• The Weierstrass-Laguerre Transform
• Another Note on Laguerre Polynomials