PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA

被引：2
作者：
Wang, Mingjin [1 ]
机构：
[1] Changzhou Univ, Dept Appl Math, Changzhou 213164, Jiangsu, Peoples R China
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2013年 / 16卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Transformation formula; Al-Salam-Carlitz polynomials; probability distribution W(x; q); Lebesgue's dominated convergence theorem; analytic continuation theorem; PROOF;
D O I：
10.1142/S0219025713500173
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the distribution W(x; q) and the Lebesgue's dominated convergence theorem to give a probabilistic derivation of a transformation formula for the Al-Salam-Carlitz polynomials. Some applications of the transformation are also given, which include an extension of the Heine's (2)phi(1) transformation formulas and an extension of the Bailey-Daum summation formula.
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页数：12
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