Some Integrals Involving q-Laguerre Polynomials and Applications

被引：14
作者：
Cao, Jian [1 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
REPRESENTATIONS; SERIES;
D O I：
10.1155/2013/302642
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The integrals involving multivariate q-Laguerre polynomials and then auxiliary ones are studied. In addition, the representations of q-Hermite polynomials by q-Laguerre polynomials and their related integrals are given. At last, some generalized integrals associated with generalized q-Hermite polynomials are deduced.
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页数：13
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共 34 条
[1]   SOME ORTHOGONAL Q-POLYNOMIALS [J].
ALSALAM, WA ;
CARLITZ, L .
MATHEMATISCHE NACHRICHTEN, 1965, 30 (1-2) :47-&
[2]   OPERATIONAL REPRESENTATIONS FOR LAGUERRE + OTHER POLYNOMIALS [J].
ALSALAM, WA .
DUKE MATHEMATICAL JOURNAL, 1964, 31 (01) :127-&
[3]  
Alvarez-Nodarse R., 2004, INT J PURE APPL MATH, V10, P335
[4]  
[Anonymous], 1990, ENCY MATH ITS APPL
[5]   RAMANUJAN EXTENSIONS OF THE GAMMA-FUNCTIONS AND BETA-FUNCTIONS [J].
ASKEY, R .
AMERICAN MATHEMATICAL MONTHLY, 1980, 87 (05) :346-359
[6]   q-Laguerre and Wall polynomials are related by the Fourier-Gauss transform [J].
Atakishiyev, MK ;
Atakishiyev, NM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (13) :L429-L432
[7]   Big q-Laguerre and q-Meixner polynomials and representations of the quantum algebra Uq(su1,1) [J].
Atakishiyev, MN ;
Atakishiyev, NM ;
Klimyk, AU .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (41) :10335-10347
[8]   Q-hermite polynomials and classical orthogonal polynomials [J].
Berg, C ;
Ismail, MEH .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1996, 48 (01) :43-63
[9]   Moments for Generating Functions of Al-Salam-Carlitz Polynomials [J].
Cao, Jian .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[10]   New proofs of generating functions for Rogers-Szego polynomials [J].
Cao, Jian .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (02) :486-492
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