An expectation formula with applications

作者：Wang Mingjin^*

来源：Journal of Mathematical Analysis and Applications, 2011, 379(1): 461-468.

DOI：10.1016/j.jmaa.2011.01.044

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

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.

• 出版日期2011-7-1
• 单位常州大学