www.math.science.cmu.ac.th/thaijournal Some properties of Bessel Elliptic kernel and Bessel Ultrahyperbolic kernel
BibTeX
@MISC{Manuel_www.math.science.cmu.ac.th/thaijournalsome,
author = {A. Manuel and T. Aguirre},
title = {www.math.science.cmu.ac.th/thaijournal Some properties of Bessel Elliptic kernel and Bessel Ultrahyperbolic kernel},
year = {}
}
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Abstract
Abstract: In this paper we introduce the distributional function families Sα(x) and RBα (u) named Bessel Elliptic kernel and Bessel Ultrahyperbolic kernel de-fined by (1.1)and(2.4)respectively,where α is a complex number. In particular when α = 2k, S2k(x) and RB2k(u), k = 1, 2,... appear in([1]). We found some relations between the operator ∆kB and ∆ k(c.f.(1.30))and between RBα (u) and RHα (u)(c.f.(2.4))and(2.8)), where R H α (u) is Marcel Riesz Ultrahyperbolic kernel), ∆kB is the Laplace-Bessel operator(c.f.(1.18))and ∆ is the Laplacian operator(c.f.(1.29)). We give a sense to the properties ∆kB {Sα} , Sα∗Sβ,∆kB {Mα},∆kB {N2k},¤kB
