A new discrete probability space with applications

作者：Wang, Mingjin^*

来源：Journal of Mathematical Analysis and Applications, 2017, 455(2): 1733-1742.

DOI：10.1016/j.jmaa.2017.06.069

• Probability space
• The probability distribution
• W (x, y
• q)
• q-Integral
• The Lebesgue's dominated
• convergence theorem
• Basic hypergeometric 3)phi(2)

We first construct a new discrete probability space (Omega,F,P) and then define a random variable with probability distribution W(x, y; q) in this space. As applications, we give a probabilistic form of Al-Salam and Verma q-integral, a new q-identity of (3)phi(2) and the two terms (3)phi(2) transformation formula of Sears.

• 出版日期2017-11-15
• 单位常州大学