q-Generating functions for one and two variables

被引：2
|
作者：
Ernst, T [1 ]
机构：
[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2005年 / 12卷 / 04期
关键词：
D O I：
10.36045/bbms/1133793346
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use a multidimensional extension of Bailey's transform to derive two very general q-generating functions, which are q-analogues of a paper by Exton [10]. These expressions are then specialized to give more practical formulae, which axe q-analogues of generating relations for Karlssons generalized Kampe de Feriet function. A number of examples axe given including q-Laguerre polynomials of two variables.
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页码：589 / 605
页数：17
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