Moments for Generating Functions of Al-Salam-Carlitz Polynomials

We employ the moment representations for Al-Salam-Carlitz polynomials and show how to deduce bilinear, trilinear, and multilinear generating functions for Al-Salam-Carlitz polynomials. Moreover, we obtain two terminating generating functions for Al-Salam-Carlitz polynomials by the method of moments.

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Main Author: Jian Cao
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/548168
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author Jian Cao
author_facet Jian Cao
author_sort Jian Cao
collection DOAJ
description We employ the moment representations for Al-Salam-Carlitz polynomials and show how to deduce bilinear, trilinear, and multilinear generating functions for Al-Salam-Carlitz polynomials. Moreover, we obtain two terminating generating functions for Al-Salam-Carlitz polynomials by the method of moments.
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institution Kabale University
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publishDate 2012-01-01
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series Abstract and Applied Analysis
spelling doaj-art-9ff76099c4fb468f90d7cb7b21dad4812025-02-03T06:12:02ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/548168548168Moments for Generating Functions of Al-Salam-Carlitz PolynomialsJian Cao0Department of Mathematics, Hangzhou Normal University, Hangzhou City 310036, ChinaWe employ the moment representations for Al-Salam-Carlitz polynomials and show how to deduce bilinear, trilinear, and multilinear generating functions for Al-Salam-Carlitz polynomials. Moreover, we obtain two terminating generating functions for Al-Salam-Carlitz polynomials by the method of moments.http://dx.doi.org/10.1155/2012/548168
spellingShingle Jian Cao
Moments for Generating Functions of Al-Salam-Carlitz Polynomials
Abstract and Applied Analysis
title Moments for Generating Functions of Al-Salam-Carlitz Polynomials
title_full Moments for Generating Functions of Al-Salam-Carlitz Polynomials
title_fullStr Moments for Generating Functions of Al-Salam-Carlitz Polynomials
title_full_unstemmed Moments for Generating Functions of Al-Salam-Carlitz Polynomials
title_short Moments for Generating Functions of Al-Salam-Carlitz Polynomials
title_sort moments for generating functions of al salam carlitz polynomials
url http://dx.doi.org/10.1155/2012/548168
work_keys_str_mv AT jiancao momentsforgeneratingfunctionsofalsalamcarlitzpolynomials