Commutative Neutrix Convolution Product of Generalized Fresnel Sine Integrals and Applications

Koceva Lazarova, Limonka and Miteva, Marija and Jusufi Zenku, Teuta (2022) Commutative Neutrix Convolution Product of Generalized Fresnel Sine Integrals and Applications. FILOMAT, 36 (16). ISSN 2406-0933

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Abstract

The generalized Fresnel sine integral $S_k(x)$ and its associated functions $S_{k+}(x)$ and $S_{k-}(x)$ are defined as locally summable functions on the real line. The generalized Fresnel sine integrals have huge applications in physics, specially 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 sine integral and its associated functions with $x^r, r=0,1,2,\dots$.

Item Type: Article
Impact Factor Value: 0.988
Subjects: Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Marija Miteva
Date Deposited: 03 Feb 2023 11:01
Last Modified: 03 Feb 2023 11:01
URI: https://eprints.ugd.edu.mk/id/eprint/31192

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