A NEW PROBABILITY DISTRIBUTION WITH APPLICATIONS

作者：Wang Mingjin^*

来源：Pacific Journal of Mathematics, 2010, 247(1): 241-255.

• probability distribution
• basic hypergeometric series
• Andrews-Askey integral
• Al-Salam-Carlitz polynomials
• Lebesgue's dominated convergence theorem
• Tannery's theorem
• Rogers-Ramanujan identities

We introduce a new probability distribution, which is useful in the study of basic hypergeometric series. As applications, we give probabilistic derivations of the q-binomial theorem, the q-Gauss summation formula, a new multiple identity, and an extension of the Rogers-Ramanujan identities.

• 出版日期2010-9
• 单位常州大学