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Title: On the incomplete gamma function and the neutrix convolution (English)
Author: Fisher, Brian
Author: Jolevska-Tuneska, Biljana
Author: Takači, Arpad
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 128
Issue: 4
Year: 2003
Pages: 367-377
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: Gamma function
Keyword: incomplete Gamma function
Keyword: convolution
Keyword: neutrix convolution
MSC: 33B10
MSC: 33B20
MSC: 46F10
idZBL: Zbl 1052.33001
idMR: MR2032474
DOI: 10.21136/MB.2003.134004
Date available: 2009-09-24T22:10:51Z
Last updated: 2020-07-29
Stable URL:
Reference: [1] van der Corput, J. G.: Introduction to the neutrix calculus.J. Analyse Math. 7 (1959–60), 291–398. MR 0124678
Reference: [2] Fisher, B.: Neutrices and the convolution of distributions.Univ. u Novom Sadu Zb. Prirod.-Mat. Fak. Ser. Mat. 17 (1987), 119–135. MR 0939303
Reference: [3] Fisher, B., Yakubovich, S., Telci, M.: On the incomplete Gamma function, submitted for publication..
Reference: [4] Gel’fand, I. M., Shilov, G. E.: Generalized Functions, vol. I.Academic Press, 1964. MR 0166596
Reference: [5] Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G.: Higher Transcendental Functions, vol. I.McGraw-Hill, New York, 1953.


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