Geodesic
Commutative neutrix convolution product of generalized Fresnel sine integrals and applications
Filomat, Tome 36 (2022) no. 16, p. 5417

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DOI

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 electromaghetics. 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,. .. .
DOI : 10.2298/FIL2216417L
Classification : 33B10, 46F10
Keywords: neutrix, convolution, neutrix limit, generalized Fresnel sine integral 
Limonka Koceva Lazarova; Marija Miteva; Teuta Jusufi-Zenku. Commutative neutrix convolution product of generalized Fresnel sine integrals and applications. Filomat, Tome 36 (2022) no. 16, p. 5417 . doi: 10.2298/FIL2216417L
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     author = {Limonka Koceva Lazarova and Marija Miteva and Teuta Jusufi-Zenku},
     title = {Commutative neutrix convolution product of generalized {Fresnel} sine integrals and applications},
     journal = {Filomat},
     pages = {5417 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216417L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216417L/}
}
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