Expectation formulas for $ q $-probability distributions: a new extension via Andrews-Askey integral
In this paper, we utilize the $ q $-Chu-Vandermonde formula to derive a novel expectation formula for the $ q $-probability distribution $ W(x, y; q) $, extending previously known results. Several applications are presented, including a broader generalization of the Andrews-Askey integral. Although...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025067 |
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