Name
Title | ||
|---|---|---|
Fourier transform and distributional representation of the generalized gamma function with some applications |
Abstract | ||
|---|---|---|
We present a Fourier transform representation of the generalized gamma functions, which leads to a distributional representation for them as a series of Dirac-delta functions. Applications of these representations are shown in evaluation of the integrals of products of the generalized gamma function with other functions. The results for Euler’s gamma function are deduced as special cases. The relation of the generalized gamma function with the Macdonald function is exploited to deduce new identities for it. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.03.075 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Fourier transform,Parseval’s identity,Gamma function,Generalized gamma function,Distributional representation | Error function,Multiplication theorem,Beta function,Characteristic function (probability theory),Mathematical analysis,Pure mathematics,Fourier transform,Incomplete gamma function,Parseval's identity,Mathematics,Gamma function | Journal |
Volume | Issue | ISSN |
218 | 3 | 0096-3003 |
Citations | PageRank | References |
2 | 0.58 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Asifa Tassaddiq | 1 | 4 | 3.46 |
| Asghar Qadir | 2 | 25 | 9.52 |