Some Results on the Bivariate Laguerre Polynomials

DOI10.1007/978-3-319-28443-9_9zbMath1355.33022OpenAlexW2483047915MaRDI QIDQ2954525

Mehmet Ali Özarslan, Cemaliye Kürt

Publication date: 24 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-28443-9_9

Mathematics Subject Classification ID

Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

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• On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials
• On the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
• Some families of hypergeometric transformations and generating relations.
• Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel \(K\)-functions
• Finite summation formulas associated with a class of generalized hypergeometric polynomials
• Bilinear generating functions for Laguerre and Lauricella polynomials in several variables
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series

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