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Notes

A Probabilistic Proof of a Wallis-type Formula for the Gamma Function

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Pages 75-79 | Received 08 Aug 2018, Accepted 16 Jul 2019, Published online: 19 Dec 2019

References

  • Folland, G. B. (1999). Real Analysis: Modern Techniques and Their Applications, 2nd ed. New York: Wiley.
  • Miller, S. J. (2008). A probabilistic proof of Wallis’s formula for π. Amer. Math. Monthly. 115(8): 740–745. DOI: 10.1080/00029890.2008.11920586.
  • Resnick, S. I. (1999). A Probability Path. Boston, MA: Birkhäuser Boston, Inc.
  • Wallis, J. (1656). Arithmetica Infinitorum. Oxford, England. Available at: archive.org/details/ArithmeticaInfinitorum/page/n5 Available in English as The Arithmetic of Infinitesimals (2004). (Stedall, J. A., trans.) New York, NY: Springer-Verlag.
  • Wei, Z., Li, J., Zheng, X. (2017). A probabilistic approach to Wallis’ formula. Commun. Stat.–Theory Methods. 46(13): 6491–6496. DOI: 10.1080/03610926.2015.1129418.

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