Beta-Function Identities via Probabilistic Approach

2017/09/28 by P. Vellaisamy, Vellaisamy, P., Aklilu Zeleke +1
Computer Science · Mathematics · #05A19 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algorithms and Data Compression #Combinatorics (math.CO) #FOS: Mathematics #Primary 62E15 #Secondary: 60C05

paper · pdf · doi:10.48550/arxiv.1709.10003

openalex publication_date 2017/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a probabilistic approach, we derive several interesting identities involving beta functions. Our results generalize certain well-known combinatorial identities involving binomial coefficients and gamma functions.

Citations

• Exponential Order Statistics, the Basel problem and Combinatorial Identities

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• Gamma function, Beta function and combinatorial identities
• Some applications of the Beta function
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• A probabilistic approach to some binomial identities
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