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Shape modes of C P 1 vortices. [PDF]

open access: yesLett Math Phys
Gavrea N, Harland D, Speight M.
europepmc   +1 more source

Nonlinear nanophotonics for high-dimensional quantum states. [PDF]

open access: yesLight Sci Appl
Nemirovsky-Levy L   +6 more
europepmc   +1 more source
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Sampling bessel functions and bessel sampling

2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI), 2013
The main aim of this article is to establish summation formulae in form of sampling expansion series for Bessel functions , and , and obtain sharp truncation error upper bounds occurring in the –Bessel sampling series approximation. The principal derivation tools are the famous sampling theorem by Kramer and various properties of Bessel and modified ...
Dragana Jankov Masirevic   +3 more
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On a bessel function integral

Applicable Algebra in Engineering, Communication and Computing, 1992
The authors present a linear combination of two integrals for calculating the integral \[ \int^ \infty_ 0xe^{-\eta x^ 2}J_ b(Kx)Y_ b(kx)dx \] where \(\eta\), \(K\), \(k\) and \(b\) are all positive real numbers. Bessel functions and Shkarofsky functions are used for this transformation.
Ross C. McPhedran   +2 more
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On powers of Bessel functions

Journal of Mathematical Physics, 2003
A formula for the Taylor series expansion of the rth power of the modified Bessel function [Iν(z)]r is derived for arbitrary r. The result is expressed in terms of a recursive formula for a class of polynomials, which facilitates the systematic construction of the expansion of [Iν(z)]r.
Bender, Carl M.   +2 more
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On a Bessel Function Integral

SIAM Review, 1967
Abstract : In the course of continuing investigations on the propagation of electromagnetic pulses, it became necessary to evaluate an integral involving exponential and Bessel functions. It was found that this integral had been evaluated incorrectly in the literature, and the error has been perpetuated for nearly 30 years.
openaire   +1 more source

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