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109.45 Yet another elementary approach to Wallis’ product formula for π

Published online by Cambridge University Press:  15 October 2025

Ushangi Goginava  and
Humberto Rafeiro
Ushangi Goginava
Affiliation:
Department of Mathematical Sciences, United Arab Emirates University, Al Ain, UAE e-mail: ugoginava@uaeu.ac.ae
Humberto Rafeiro
Affiliation:
Department of Mathematical Sciences, United Arab Emirates University, Al Ain, UAE e-mail: rafeiro@uaeu.ac.ae
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The Mathematical Gazette , Volume 109 , Issue 576 , November 2025 , pp. 548 - 550
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© The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association

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References

Wallis, J., The arithmetic of infinitesimals (translated from the Latin and with an introduction by Jaqueline A. Stedall), Sources Stud. Hist. Math. Phys. Sci., New York, NY: Springer (2004).Google Scholar
Amann, H. and Escher, J., Analysis II, Basel: Birkhäuser (2008).Google Scholar
Wästlund, J., An elementary proof of the Wallis product formula for pi, Amer. Math. Monthly, 52(114) no. 10, (2007) pp. 914–917.10.1080/00029890.2007.11920484CrossRefGoogle Scholar
Yaglom, A. M. and Yaglom, I. M., An elementary derivation of the formulas of Wallis, Leibnitz and Euler for the number , (in Russian) Usp. Mat. Nauk, 8 no. 5(57), (1953) pp. 181–187.Google Scholar