A Simple Probabilistic Proof for the Alternating Convolution of the Central Binomial Coefficients |
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| Authors: | Ashok Kumar Pathak |
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| Affiliation: | Department of Mathematics and Statistics, Central University of Punjab, Bathinda, India |
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| Abstract: | This note presents a simple probabilistic proof of the identity for the alternating convolution of the central binomial coefficients. The proof of the identity involves the computation of moments of order n for the product of standard normal random variables. |
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| Keywords: | Binomial identities Combinatorial identities Probabilistic proofs Standard normal distribution |
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