Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 23, Number 3 (2019), 563-574.
An Expectation Formula Based on a Maclaurin Expansion
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.
Taiwanese J. Math., Volume 23, Number 3 (2019), 563-574.
Received: 3 April 2018
Revised: 29 July 2018
Accepted: 1 August 2018
First available in Project Euclid: 10 August 2018
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Wang, Mingjin. An Expectation Formula Based on a Maclaurin Expansion. Taiwanese J. Math. 23 (2019), no. 3, 563--574. doi:10.11650/tjm/180802. https://projecteuclid.org/euclid.twjm/1533866420