Successive approximations of π using Euler Beta functions

2022/04/21 by Jean‐Christophe Pain, Pain, Jean-Christophe
Mathematics · #Advanced Mathematical Identities #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2204.10693

Abstract

In this didactic note, we describe a procedure to derive successive approximations of π using Euler Beta functions. It is an interesting exercise for undergraduate students, since it involves polynomial roots, integral calculations, inequalities and Euler Beta functions.

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