A complex definite integral used in the semi-analytical solution of the mass transport equation in an unbounded two- or three-dimensional domain
type: Item
instance of: scholarly article
title: A complex definite integral used in the semi-analytical solution of the mass transport equation in an unbounded two- or three-dimensional domain
zbMATH Open document ID: 0777.30022
DOI: 10.1016/0022-247X(92)90333-9
author: A. B. Gureghian
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: The author calculates the integral \[ \int^ \infty_ 0 e^{-(t^ 2+{z^ 2\over t^ 2})}dt={\sqrt\pi\over 2}e^{-2z},\quad|\arg z|\leq{\pi\over 4}. \] For positive \(z\) this equality is reported in mathematical tables. For complex \(z\) this equality follows from the theorem of uniqueness for analytic functions. The author gives another proof.
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 62802
zbMATH Keywords: complex integral
MaRDI profile type: Publication
cites work: Q3661894
cites work: Q5533727
cites work: Q4275389
full work available at URL: 0022-247x(92)90333-9
OpenAlex ID: W2045028354
description: scientific article; zbMATH DE number 62802