Some Commutative Neutrix Convolutions Involving the Fresnel Integrals
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 commutative neutrix convolutions of the Fresnel sine integral and its associat...
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| Published in | Sarajevo journal of mathematics Vol. 2; no. 1; pp. 11 - 21 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
12.06.2024
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| Online Access | Get full text |
| ISSN | 1840-0655 2233-1964 |
| DOI | 10.5644/SJM.02.1.02 |
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| Abstract | 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 commutative neutrix convolutions of the Fresnel sine integral and its associated functions with $x^r$ are evaluated.
1991 Mathematics Subject Classification. 33B10, 46F10 |
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| AbstractList | 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 commutative neutrix convolutions of the Fresnel sine integral and its associated functions with $x^r$ are evaluated.
1991 Mathematics Subject Classification. 33B10, 46F10 |
| Author | Fisher, Brian Sritanratana, Gumpon Nonlaopon, Kamsing |
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| Snippet | 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... |
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| Title | Some Commutative Neutrix Convolutions Involving the Fresnel Integrals |
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