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2012 Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
Taekyun Kim, Dae San Kim
Abstr. Appl. Anal. 2012: 1-15 (2012). DOI: 10.1155/2012/957350

Abstract

Let P n = { p ( x ) [ x ] deg p ( x ) n } be an inner product space with the inner product p ( x ) , q ( x ) = 0 x α e - x p ( x ) q ( x ) d x , where p ( x ) , q ( x ) P n and α with α > - 1 . In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis for P n . From those properties, we derive some interesting relations and identities of the extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials.

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Taekyun Kim. Dae San Kim. "Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials." Abstr. Appl. Anal. 2012 1 - 15, 2012. https://doi.org/10.1155/2012/957350

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1258.33006
MathSciNet: MR2969990
Digital Object Identifier: 10.1155/2012/957350

Rights: Copyright © 2012 Hindawi

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