An Expectation Formula Based on a Maclaurin Expansion

作者：Wang, Mingjin^*

来源：Taiwanese Journal of Mathematics, 2019, 23(3): 563-574.

DOI：10.11650/tjm/180802

• the probability distribution W (x, y
• q)
• the Maclaurin expansion
• q-integral
• the Lebesgue's dominated convergence theorem
• the Bernoulli numbers

In this paper, we obtain an expectation formula with respect to the q-probability distribution W (x, y; q) based on a Maclaurin expansion. The formula has many applications in mathematics. Some of the applications are also given, which include a probability version of the Al-Salam and Verma q-integral.

• 出版日期2019-6
• 单位常州大学