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 ...

Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...

You can create a release to package software, along with release notes and links to binary files, for other people to use. Learn more about releases in our docs.

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: From the theorem 1 formulated in [1], a set of functions of measure zero within the set of all corresponding functions has to be excluded. These are the cases where the Omega functions ...

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 ...

An evaluation of the derivative of spherical Bessel functions of order n + 1/2 at its zeros is obtained. Consequently, an explicit quadrature formula for entire functions of exponential type is given.

Abstract: The spherically layered media (SLM) theory has wide applications for electromagnetic wave scattering analysis. Due to the involved Bessel functions, the traditional formulations of the SLM ...

This is a very hastily-put-together library to export Scipy's kv and kve functions (modified Bessel functions of the second kind) to JavaScript/Node via WebAssembly. The Scipy functions call a public ...

Abstract: Commonly, coherent states can be represented in terms of an exact expansion of Fock's states and a Gaussian distribution. This paper explores the harmonic quantum oscillator through ...