Abstract: This paper aims to provide a tutorial on Bessel functions, and especially on the numer cal evaluation of Bessel integrals. Bessel integrals are asymptotically evaluated using high-frequency ...

Geometric Function Theory is a vibrant field that investigates the geometric properties of analytic functions, including univalence, starlikeness, and convexity, which are key to understanding their ...

ABSTRACT: Series expansion of single variable functions is represented in Fourier-Bessel form with unknown coefficients. The proposed series expansions are derived for arbitrary radial boundaries in ...

Several second order ODEs of the form 𝒚 ′′ + 𝒑(𝒙)𝒚 ′ + 𝒒(𝒙)𝒚 = 𝒓(𝒙) are of practical importance have Power series solution if coefficients p(x), q(x) and r(x) are functions instead of ...

Abstract The main object of this paper is to give sufficient conditions for certain families of integral operators, which are defined here by means of the normalized form of the generalized Bessel ...

In this paper we develop the local theory for a Jacquet's relative trace formula. The local theory is essential to the application of the trace formula: it is an identity of Besel and relative Bessel ...

Abstract: The vortex electromagnetic (EM) wave carrying orbital angular momentum (OAM) has shown significant potential in high-resolution radar imaging. However, the Bessel function modulation (BFM) ...