Some Commutative Neutrix Convolutions Involving the Fresnel Integrals
DOI:
https://doi.org/10.5644/SJM.02.1.02Keywords:
Fresnel cosine integral, Fresnel sine integral, convolution, commutative neutrix convolutionAbstract
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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References
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