The non-symmetric Lommel function transform

DOI10.1080/10652469.2015.1025777zbMath1321.33024OpenAlexW2043264221MaRDI QIDQ5262273

Fethi Bouzeffour, Nejmeddine Chorfi

Publication date: 13 July 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1025777

zbMATH Keywords

intertwining operatorspecial functionsdifferential-difference operatornon-symmetric Hardy transformnon-symmetric Lommel function

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Other special orthogonal polynomials and functions (33C47)

Cites Work

• Special functions associated with complex reflection groups
• Reflection groups and orthogonal polynomials on the sphere
• LU factorizations, \(q = 0\) limits, and \(p\)-adic interpretations of some \(q\)-hypergeometric orthogonal polynomials
• Cyclic vectors and invariant subspaces of the backward shift operator
• The generalized Hartley transform
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Integral representations for the exceptional univariate Lommel functions
• Sur les restes successifs des séries de Taylor
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
• A Class of Fourier Kernels
• Mittag-Leffler functions and complete monotonicity
• On Generating Functions of Polynomial Systems

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