On the Fresnel integrals and the convolution
The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r an...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203211522 |
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| _version_ | 1849467482750844928 |
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| author | Adem Kiliçman Brian Fisher |
| author_facet | Adem Kiliçman Brian Fisher |
| author_sort | Adem Kiliçman |
| collection | DOAJ |
| description | The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated. |
| format | Article |
| id | doaj-art-e73cbc1fcf50472ca55f32e07655bb6b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e73cbc1fcf50472ca55f32e07655bb6b2025-08-20T03:26:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003412635264310.1155/S0161171203211522On the Fresnel integrals and the convolutionAdem Kiliçman0Brian Fisher1Department of Mathematics, University of Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaDepartment of Mathematics, University of Leicester, Leicester LE1 7RH, UKThe Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated.http://dx.doi.org/10.1155/S0161171203211522 |
| spellingShingle | Adem Kiliçman Brian Fisher On the Fresnel integrals and the convolution International Journal of Mathematics and Mathematical Sciences |
| title | On the Fresnel integrals and the convolution |
| title_full | On the Fresnel integrals and the convolution |
| title_fullStr | On the Fresnel integrals and the convolution |
| title_full_unstemmed | On the Fresnel integrals and the convolution |
| title_short | On the Fresnel integrals and the convolution |
| title_sort | on the fresnel integrals and the convolution |
| url | http://dx.doi.org/10.1155/S0161171203211522 |
| work_keys_str_mv | AT ademkilicman onthefresnelintegralsandtheconvolution AT brianfisher onthefresnelintegralsandtheconvolution |