Macdonald polynomials and multivariable basic hypergeometric series.
Schlosser, Michael J. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Schlosser, Michael J. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ayman Shehata (2016)
Mathematica Bohemica
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The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix...
Biane, Philippe (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Mumtaz Ahmad Khan, Mohammad Asif (2012)
Matematički Vesnik
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Pavel M. BLEHER, Arno B.J. Kuijlaars (2005)
Annales de l’institut Fourier
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We give integral representations for multiple Hermite and multiple Laguerre polynomials of both type I and II. We also show how these are connected with double integral representations of certain kernels from random matrix theory.
Henry, M.S., Huffstutler, R.G., Stein, F. Max (1967)
Portugaliae mathematica
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N. Abdul-Halim, W. A. Al-Salam (1964)
Rendiconti del Seminario Matematico della Università di Padova
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Hallnäs, Martin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Grünbaum, F. Alberto (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ben Taher, Rajae, Rachidi, Mustapha (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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