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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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 2; no. 1; pp. 11 - 21
Main Authors Fisher, Brian, Nonlaopon, Kamsing, Sritanratana, Gumpon
Format Journal Article
LanguageEnglish
Published 12.06.2024
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Summary: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
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.02.1.02