On a generalized Wiener-Hopf integral equation

McGregor, Malcolm T.. "On a generalized Wiener-Hopf integral equation." Archivum Mathematicum 033.4 (1997): 273-278. <http://eudml.org/doc/248018>.

@article{McGregor1997,
abstract = {Let $\alpha $ be such that $0<\alpha <\frac\{1\}\{2\}$. In this note we use the Mittag-Leffler partial fractions expansion for $F_\alpha (\theta )=\Gamma \left(1-\alpha -\frac\{\theta \}\{\pi \}\right) \Gamma (\alpha )/ \Gamma \left( \alpha -\frac\{\theta \}\{\pi \}\right) \Gamma (1-\alpha )$ to obtain a solution of a Wiener-Hopf integral equation.},
author = {McGregor, Malcolm T.},
journal = {Archivum Mathematicum},
keywords = {Wiener-Hopf integral equation},
language = {eng},
number = {4},
pages = {273-278},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a generalized Wiener-Hopf integral equation},
url = {http://eudml.org/doc/248018},
volume = {033},
year = {1997},
}

TY - JOUR
AU - McGregor, Malcolm T.
TI - On a generalized Wiener-Hopf integral equation
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 4
SP - 273
EP - 278
AB - Let $\alpha $ be such that $0<\alpha <\frac{1}{2}$. In this note we use the Mittag-Leffler partial fractions expansion for $F_\alpha (\theta )=\Gamma \left(1-\alpha -\frac{\theta }{\pi }\right) \Gamma (\alpha )/ \Gamma \left( \alpha -\frac{\theta }{\pi }\right) \Gamma (1-\alpha )$ to obtain a solution of a Wiener-Hopf integral equation.
LA - eng
KW - Wiener-Hopf integral equation
UR - http://eudml.org/doc/248018
ER -