Commutative Neutrix Convolution Product of Generalized Fresnel Cosine Integrals and Convolution

Koceva Lazarova, Limonka and Miteva, Marija and Jusufi Zenku, Teuta (2021) Commutative Neutrix Convolution Product of Generalized Fresnel Cosine Integrals and Convolution. Journal of Computer Science and Applied Mathematics, 3 (2). pp. 83-91. ISSN 1857-9582

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Abstract

The generalized Fresnel cosine integral $C_k(x)$ and its associated functions $C_{k+}(x)$ and $C_{k-}(x)$ are defined as locally summable functions on the real line. The generalized Fresnel cosine integrals have huge applications in physics, especially in optics and electromagnetics. In many diffraction problems the generalized Fresnel integrals plays an important role. In this paper are calculated the commutative neutrix convolutions of the generalized Fresnel cosine integral and its associated functions with $x^r, r=0,1,2,\dots$.

Item Type:	Article
Subjects:	Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Limonka Koceva Lazarova
Date Deposited:	02 Nov 2021 12:02
Last Modified:	02 Nov 2021 12:02
URI:	https://eprints.ugd.edu.mk/id/eprint/28700

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