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 ...
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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 ...
I mainly translated methods of the GSL - GNU Scientific Library (https://www.gnu.org/software/gsl/), into the Godot 4.x shdaing language. They are simple nodes that ...
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 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 ...
ABSTRACT: In expansions of arbitrary functions in Bessel functions or Spherical Bessel functions, a dual partner set of polynomials play a role. For the Bessel functions, these are the Chebyshev ...
The Handbook of Mathematical Functions by Milton Abramovich and Irene Stegun is the one book I would wish to have on a desert island. Unlike a novel, it withstands infinities of rereadings. Its ...
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