Fourier transform and distributional representation of the gamma function leading to some new identities
We present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120430743X |
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| _version_ | 1832562442526261248 |
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| author | M. Aslam Chaudhry Asghar Qadir |
| author_facet | M. Aslam Chaudhry Asghar Qadir |
| author_sort | M. Aslam Chaudhry |
| collection | DOAJ |
| description | We present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here. |
| format | Article |
| id | doaj-art-0a929f128a584367a7e649bf81462521 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0a929f128a584367a7e649bf814625212025-02-03T01:22:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004392091209610.1155/S016117120430743XFourier transform and distributional representation of the gamma function leading to some new identitiesM. Aslam Chaudhry0Asghar Qadir1Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaWe present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here.http://dx.doi.org/10.1155/S016117120430743X |
| spellingShingle | M. Aslam Chaudhry Asghar Qadir Fourier transform and distributional representation of the gamma function leading to some new identities International Journal of Mathematics and Mathematical Sciences |
| title | Fourier transform and distributional representation of the gamma function leading to some new identities |
| title_full | Fourier transform and distributional representation of the gamma function leading to some new identities |
| title_fullStr | Fourier transform and distributional representation of the gamma function leading to some new identities |
| title_full_unstemmed | Fourier transform and distributional representation of the gamma function leading to some new identities |
| title_short | Fourier transform and distributional representation of the gamma function leading to some new identities |
| title_sort | fourier transform and distributional representation of the gamma function leading to some new identities |
| url | http://dx.doi.org/10.1155/S016117120430743X |
| work_keys_str_mv | AT maslamchaudhry fouriertransformanddistributionalrepresentationofthegammafunctionleadingtosomenewidentities AT asgharqadir fouriertransformanddistributionalrepresentationofthegammafunctionleadingtosomenewidentities |