An approximation of the gamma function
type: Item
instance of: scholarly article
title: An approximation of the gamma function
zbMATH Open document ID: 0698.33003
DOI: 10.1016/0022-247X(90)90316-8
author: Serge Dubuc
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: A very good approximation of the gamma function is found. This approximation comes from a trapezoidal rule. The error of the approximation is estimated through a Fourier expansion. All completely monotone solutions of the functional equation \(\phi (ax)=b\phi (x)\) are described. Why any completely monotone solution is close to a power of x is explained with that approximation of the gamma function.
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 65D20
zbMATH DE Number: 4144380
zbMATH Keywords: gamma function
zbMATH Keywords: trapezoidal rule
MaRDI profile type: Publication
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full work available at URL: 0022-247x(90)90316-8
OpenAlex ID: W2025807665
description: scientific article; zbMATH DE number 4144380