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Short Technical Note

A Simple Probabilistic Proof for the Alternating Convolution of the Central Binomial Coefficients

Pages 287-288 | Received 01 Feb 2017, Published online: 03 Aug 2018

References

  • Ahsanullah, M., Kibria, B. M. G., Shakil, M. (2014), Normal and Student’s t Distributions and Their Applications, Paris: Atlantis Press.
  • Casella, G., and Berger, R. L. (2002), Statistical Inference (2nd ed.), Pacific Grove, CA: Thomson Learning.
  • Chang, G., and Xu, C. (2011), “Generalization and Probabilistic Proof of a Combinatorial Identity,” American Mathematical Monthly, 118, 175–177.
  • De Angelis, V. (2006), “Pairings and Signed Permutations,” American Mathematical Monthly, 113, 642–644.
  • Mikić, J. (2016), “A Proof of a Famous Identity Concerning the Convolution of the Central Binomial Coefficients,” Journal of Integer Sequences, 19, Article 16.6.6, pp. 10.
  • Nagy, G. V. (2012), “A Combinatorial Proof of Shapiro’s Catalan Convolution,” Advances in Applied Mathematics, 49, 391–396.
  • Spivey, M. Z. (2014), “A Combinatorial Proof for the Alternating Convolution of the Central Binomial Coefficients,” American Mathematical Monthly, 121, 537–540.

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