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 xʳ are evaluated. 1991 Mathematics Subject Classification. 33B10, 46F10
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Fisher et al. (2024) studied this question.
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