Work

Successive approximations of $π$ using Euler Beta functions

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2204.10693

Author: Pain, Jean-Christophe

Institutions: Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, Laboratoire Matière en Conditions Extrêmes

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4224495129

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