# On the incomplete gamma function and the neutrix convolution

Brian Fisher; Biljana Jolevska-Tuneska; Arpad Takači

Mathematica Bohemica (2003)

- Volume: 128, Issue: 4, page 367-377
- ISSN: 0862-7959

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topFisher, Brian, Jolevska-Tuneska, Biljana, and Takači, Arpad. "On the incomplete gamma function and the neutrix convolution." Mathematica Bohemica 128.4 (2003): 367-377. <http://eudml.org/doc/249218>.

@article{Fisher2003,

abstract = {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.},

author = {Fisher, Brian, Jolevska-Tuneska, Biljana, Takači, Arpad},

journal = {Mathematica Bohemica},

keywords = {Gamma function; incomplete Gamma function; convolution; neutrix convolution; Gamma function; incomplete Gamma function; convolution; neutrix convolution},

language = {eng},

number = {4},

pages = {367-377},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the incomplete gamma function and the neutrix convolution},

url = {http://eudml.org/doc/249218},

volume = {128},

year = {2003},

}

TY - JOUR

AU - Fisher, Brian

AU - Jolevska-Tuneska, Biljana

AU - Takači, Arpad

TI - On the incomplete gamma function and the neutrix convolution

JO - Mathematica Bohemica

PY - 2003

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 128

IS - 4

SP - 367

EP - 377

AB - 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.

LA - eng

KW - Gamma function; incomplete Gamma function; convolution; neutrix convolution; Gamma function; incomplete Gamma function; convolution; neutrix convolution

UR - http://eudml.org/doc/249218

ER -

## References

top- Introduction to the neutrix calculus, J. Analyse Math. 7 (1959–60), 291–398. (1959–60) MR0124678
- Neutrices and the convolution of distributions, Univ. u Novom Sadu Zb. Prirod.-Mat. Fak. Ser. Mat. 17 (1987), 119–135. (1987) MR0939303
- On the incomplete Gamma function, submitted for publication, .
- Generalized Functions, vol. I, Academic Press, 1964. (1964) MR0166596
- Higher Transcendental Functions, vol. I, McGraw-Hill, New York, 1953. (1953)

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