Moments of differences of gamma and beta random variables yield generalized combinatorial identities in both independent and dependent cases.
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math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A probabilistic method equates d-dimensional random walk return probabilities to beta moments, yielding proofs of beta/gamma identities and new general-dimension identities.
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Generalization and Probabilistic Proofs of Some Combinatorial Identities
Moments of differences of gamma and beta random variables yield generalized combinatorial identities in both independent and dependent cases.
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A Unified Approach to Beta Moments, Combinatorial Identities, and Random Walks
A probabilistic method equates d-dimensional random walk return probabilities to beta moments, yielding proofs of beta/gamma identities and new general-dimension identities.