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On the Complete Elliptic Integrals and Babylonian Identity I: The 1/Π Formulaes Involving Gamma Functions and Summations

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Abstract:

We evaluate the constant 1/Π using the Babylonian identity and complete elliptic integral of first kind. This resulted in two representations in terms of the Euler’s gamma functions and summations.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 6)
Pages:
40-46
DOI:
10.18052/www.scipress.com/BMSA.6.40
Citation:
E. Guedes and R. R. Gandhi, "On the Complete Elliptic Integrals and Babylonian Identity I: The 1/Π Formulaes Involving Gamma Functions and Summations", Bulletin of Mathematical Sciences and Applications, Vol. 6, pp. 40-46, 2013
Online since:
Nov 2013
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