An operational procedure for Hankel type integrals
In this paper, an operational procedure is established to evaluate Hankel type integrals. First, an operator L(θ), θ≡−xddx is constructed, which defines the integral. Then making use of some basic properties of this operator, an elementary procedure is developed for evaluating integrals for a specia...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000346 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562903279992832 |
|---|---|
| author | C. Nasim |
| author_facet | C. Nasim |
| author_sort | C. Nasim |
| collection | DOAJ |
| description | In this paper, an operational procedure is established to evaluate Hankel type integrals. First, an operator L(θ), θ≡−xddx is constructed, which defines the integral. Then making use of some basic properties of this operator, an elementary procedure is developed for evaluating integrals for a special class of analytic functions. A few example are given to illustrate the technique. |
| format | Article |
| id | doaj-art-bfcc9d78ead14e0093070424dc46f7ca |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bfcc9d78ead14e0093070424dc46f7ca2025-02-03T01:21:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110228729410.1155/S0161171287000346An operational procedure for Hankel type integralsC. Nasim0Department of Mathematics and Statistics, The University of Calgary, Calgary T2N 1N4, Alberta, CanadaIn this paper, an operational procedure is established to evaluate Hankel type integrals. First, an operator L(θ), θ≡−xddx is constructed, which defines the integral. Then making use of some basic properties of this operator, an elementary procedure is developed for evaluating integrals for a special class of analytic functions. A few example are given to illustrate the technique.http://dx.doi.org/10.1155/S0161171287000346differential operator of infinite orderHankel transformMellin transformBessel functionshypergeometric functions. |
| spellingShingle | C. Nasim An operational procedure for Hankel type integrals International Journal of Mathematics and Mathematical Sciences differential operator of infinite order Hankel transform Mellin transform Bessel functions hypergeometric functions. |
| title | An operational procedure for Hankel type integrals |
| title_full | An operational procedure for Hankel type integrals |
| title_fullStr | An operational procedure for Hankel type integrals |
| title_full_unstemmed | An operational procedure for Hankel type integrals |
| title_short | An operational procedure for Hankel type integrals |
| title_sort | operational procedure for hankel type integrals |
| topic | differential operator of infinite order Hankel transform Mellin transform Bessel functions hypergeometric functions. |
| url | http://dx.doi.org/10.1155/S0161171287000346 |
| work_keys_str_mv | AT cnasim anoperationalprocedureforhankeltypeintegrals AT cnasim operationalprocedureforhankeltypeintegrals |