An expectation formula with applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Wang, Mingjin

关键词: Andrews-Askey integral;    Probability distribution W (x, q);    Al-Salam and Verma q-integral;    Lebesgue's dominated convergence theorem;    Basic hypergeometric function (3 phi 2);   

DOI  :  10.1016/j.jmaa.2011.01.044

来源: Elsevier

【 摘 要 】

In this paper, we derive an expectation formula of a random variable having distribution W (x; q). As applications of the expectation formula, we give a transformation formula and an expansion of Sears' (3 phi 2) transformation formula. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free