Abstract
In this paper, we use Lebesgue's dominated convergence theorem to give a probabilistic version of Mehler's formula for the well-known Rogers-Szegö polynomials. Applications of the probabilistic version are also given.
Citation
Mingjin Wang. "A PROBABILISTIC VERSION OF MEHLER'S FORMULA." Taiwanese J. Math. 18 (2) 633 - 643, 2014. https://doi.org/10.11650/tjm.18.2014.3576
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