H-function with complex parameters I: existence
An H-function with complex parameters is defined by a Mellin-Barnes type integral. Necessary and sufficient conditions under which the integral defining the H-function converges absolutely are established. Some properties, special cases, and an application to integral transforms are given.
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| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005142 |
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| _version_ | 1832568451878617088 |
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| author | Fadhel A. Al-Musallam Vu Kim Tuan |
| author_facet | Fadhel A. Al-Musallam Vu Kim Tuan |
| author_sort | Fadhel A. Al-Musallam |
| collection | DOAJ |
| description | An H-function with complex parameters is defined by a
Mellin-Barnes type integral. Necessary and sufficient conditions
under which the integral defining the H-function converges
absolutely are established. Some properties, special cases, and an
application to integral transforms are given. |
| format | Article |
| id | doaj-art-ac21b6dca94a46e3b63918ea0d8395f4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ac21b6dca94a46e3b63918ea0d8395f42025-02-03T00:59:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125957158610.1155/S0161171201005142H-function with complex parameters I: existenceFadhel A. Al-Musallam0Vu Kim Tuan1Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitAn H-function with complex parameters is defined by a Mellin-Barnes type integral. Necessary and sufficient conditions under which the integral defining the H-function converges absolutely are established. Some properties, special cases, and an application to integral transforms are given.http://dx.doi.org/10.1155/S0161171201005142 |
| spellingShingle | Fadhel A. Al-Musallam Vu Kim Tuan H-function with complex parameters I: existence International Journal of Mathematics and Mathematical Sciences |
| title | H-function with complex parameters I: existence |
| title_full | H-function with complex parameters I: existence |
| title_fullStr | H-function with complex parameters I: existence |
| title_full_unstemmed | H-function with complex parameters I: existence |
| title_short | H-function with complex parameters I: existence |
| title_sort | h function with complex parameters i existence |
| url | http://dx.doi.org/10.1155/S0161171201005142 |
| work_keys_str_mv | AT fadhelaalmusallam hfunctionwithcomplexparametersiexistence AT vukimtuan hfunctionwithcomplexparametersiexistence |