Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation

DOI10.1016/J.AJMSC.2013.05.002zbMath1301.33006OpenAlexW1984436666WikidataQ115361969 ScholiaQ115361969MaRDI QIDQ465008

Nader Ali Makboul Hassan

Publication date: 30 October 2014

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2013.05.002

zbMATH Keywords

Lie algebra representationgenerating relationsgeneralized Tricomi functions

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Harmonic oscillator group and Laguerre 2D polynomials.
• Group-theoretic origin of certain generating functions
• Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions
• Generating relations of Tricomi and Hermite-Tricomi functions using Lie algebra representation
• Lie-theoretic generating relations of Hermite 2D polynomials
• Lie theory and special functions
• Generating Functions for Hermite Functions
• Generating Functions for Bessel Functions
• GENERATING RELATIONS INVOLVING 3-VARIABLE 2-PARAMETER TRICOMI FUNCTIONS USING LIE-ALGEBRAIC TECHNIQUES

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