Abstract: The main aim of this article is to establish summation formulae in form of sampling expansion series for Bessel functions Yv, Iv; and Kv, and obtain sharp ...

Desktop software for designing and simulating Bessel filters of various types (Low-pass, High-pass, Band-pass, Band-stop) in both analog and digital domains. The application features graphical ...

The second Remes algorithm is used to approximate the integrals Kis by rational functions. The related coefficients for the approximations of Ki1, Ki2, Ki3 are given for different precisions.

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 polynomials of ...

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The Bessel beams scattering of the fog particles were calculated by using the plane beams angle spectrum expansion method, and the effects of the topological charge and the half-conic angle of the ...

The Bessel beam, with a significant depth of field and self-healing characteristics, has been applied in widespread applications, including quantum entanglement, underwater 3D imaging, optical ...

In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us ...