On the incomplete gamma function and the neutrix convolution
Mathematica Bohemica, Tome 128 (2003) no. 4, pp. 367-377
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The incomplete Gamma function $\gamma (\alpha ,x)$ and its associated functions $\gamma (\alpha ,x _+)$ and $\gamma (\alpha ,x _-)$ are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions $x^r$ and $x_-^r$ are then found.
DOI :
10.21136/MB.2003.134004
Classification :
33B10, 33B20, 46F10
Keywords: Gamma function; incomplete Gamma function; convolution; neutrix convolution
Keywords: Gamma function; incomplete Gamma function; convolution; neutrix convolution
@article{10_21136_MB_2003_134004,
author = {Fisher, Brian and Jolevska-Tuneska, Biljana and Taka\v{c}i, Arpad},
title = {On the incomplete gamma function and the neutrix convolution},
journal = {Mathematica Bohemica},
pages = {367--377},
publisher = {mathdoc},
volume = {128},
number = {4},
year = {2003},
doi = {10.21136/MB.2003.134004},
mrnumber = {2032474},
zbl = {1052.33001},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134004/}
}
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Fisher, Brian; Jolevska-Tuneska, Biljana; Takači, Arpad. On the incomplete gamma function and the neutrix convolution. Mathematica Bohemica, Tome 128 (2003) no. 4, pp. 367-377. doi: 10.21136/MB.2003.134004
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