Some results due to Konhauser polynomials of first kind and Laguerre polynomials

DOI10.1016/j.amc.2014.09.020zbMath1338.33021OpenAlexW2046574040WikidataQ62617709 ScholiaQ62617709MaRDI QIDQ297789

Naresh K. Ajudia, Praveen Agarwal, Jyotindra C. Prajapati

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.020

zbMATH Keywords

Laplace transformgeneralized Laguerre polynomialsEuler transformfractional integral and differential operatorsgeneralized Mittag-Leffler functionKonhouser polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10)

Cites Work

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• On the Konhauser polynomials \(Y^\alpha_n(x;k)\)
• Some biorthogonal polynomials suggested by the Laguerre polynomials
• Expansion formulas for Srivastava polynomials in series of the Kohnhauser biorthogonal polynomials
• On the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
• On a generalization of Mittag-Leffler function and its properties
• Biorthogonal polynomials suggested by the Laguerre polynomials
• A note on certain biorthogonal polynomials
• On a set of polynomials suggested by Laguerre polynomials
• Multilinear Generating Function for the Konhauser Biorthogonal Polynomial Sets
• Some properties of biorthogonal polynomials

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