On the Generalized Fresnel Cosine Integrals and Convolution

Limonka Lazarova, Biljana Jolevska-Tuneska

Abstract


The generalized Fresnel cosine integral $\Ck(x)\,$ and its

associated functions $\Ck _+ ( x)\,,$ $\Ck _- ( x)\,$ are defined as

locally summable functions on the real line. Some convolutions and neutrix convolutions of the generalized Fresnel cosine integral and its associated functions are then found.


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|ISSN 1686-0209|