Modified relativistic Laguerre polynomials. monomiality and Lie algebraic methods

DOI10.1515/GMJ-2016-0022zbMath1346.33007OpenAlexW2404754676MaRDI QIDQ313724

Subuhi Khan, Rehana Khan

Publication date: 12 September 2016

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0022

zbMATH Keywords

monomiality principlegenerating relationsLie algebra \(\mathrm{sl}(2)\)relativistic Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

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• Generalized polynomials, operational identities and their applications
• Generalized Bessel functions and Kapteyn series
• Laguerre-type exponentials and generalized Appell polynomials
• Generalized polynomials and associated operational identities
• Lie theory and special functions
• An introduction to operational techniques and special polynomials
• The relativistic Hermite polynomial is a Gegenbauer polynomial
• Miscellaneous results on the generating functions of special functions
• Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials
• Phase-space formalism: Generalized Hermite polynomials, orthogonal functions and creation–annihilation operators

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