Results 11 to 20 of about 165,948 (320)

Zeros of Bessel function derivatives [PDF]

Proceedings of the American Mathematical Society, 2016
We prove that for $\nu>n-1$ all zeros of the $n$th derivative of Bessel function of the first kind $J_{\nu}$ are real and simple. Moreover, we show that the positive zeros of the $n$th and $(n+1)$th derivative of Bessel function of the first kind $J_{\nu}
Baricz, Árpád, Kokologiannaki, Chrysi G., Pogány, Tibor K.   +2 more
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Expansion in Bessel functions [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1937
Tosio Kitagawa
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Univalence of Bessel functions [PDF]

Proceedings of the American Mathematical Society, 1960
In particular we shall first determine a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} >0, I arg v|
Ronnie Brown
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On Spherical Bessel Functions [PDF]

Transactions of the American Mathematical Society, 1965
In [1] solutions were obtained for certain second order linear differential equations with polynomial coefficients in terms of generalized Rodrigues' formulas and iterated indefinite integrals. The purpose of this paper is to apply these results to the Bessel equation.
James M. Horner
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Double and Square Bessel–Gaussian Beams

Micromachines, 2023
We obtain a transform that relates the standard Bessel–Gaussian (BG) beams with BG beams described by the Bessel function of a half-integer order and quadratic radial dependence in the argument.
Eugeny G. Abramochkin, Victor V. Kotlyar, Alexey A. Kovalev   +2 more
doaj   +1 more source

Exponential beams of electromagnetic radiation [PDF]

, 2006
We show that in addition to well known Bessel, Hermite-Gauss, and Laguerre-Gauss beams of electromagnetic radiation, one may also construct exponential beams.
Allen L, Bateman H, Bialynicki-Birula I, Bialynicki-Birula I Bialynicka-Birula Z, Gradshteyn I S, Iwo Bialynicki-Birula, Power E, Silberstein L, Silberstein L, Stratton J, Weber H, Whittaker E T, Whittaker E T, Zofia Bialynicka-Birula   +13 more
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Integral transforms of an extended generalized multi-index Bessel function

AIMS Mathematics, 2020
In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin ...
Shahid Mubeen, Rana Safdar Ali, Iqra Nayab, Gauhar Rahman, Thabet Abdeljawad, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

On generalized Bessel–Maitland function

Advances in Difference Equations, 2021
An approach to the generalized Bessel–Maitland function is proposed in the present paper. It is denoted by J ν , λ μ $\mathcal{J}_{\nu , \lambda }^{\mu }$ , where μ > 0 $\mu >0$ and λ , ν ∈ C $\lambda ,\nu \in \mathbb{C\ }$ get increasing interest from ...
Hanaa M. Zayed
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Analysis of GPU Computation of Parabolic, Bessel, Wright and Riemann Zeta Functions [PDF]

ITM Web of Conferences, 2021
This paper deals with GPU computing of special mathematical functions that are used in Fractional Calculus. The graphics processing unit (GPU) has grown to be an integral part of nowadays’s mainstream computing structures.
Jadhav Ashish A., Kalamkar Abhijeet D., Gaikwad Pritish A., Vyawahare Vishwesh, Singhaniya Navin   +4 more
doaj   +1 more source

Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups [PDF]

, 2012
For any Hermitian Lie group G of tube type we construct a Fock model of its minimal representation. The Fock space is defined on the minimal nilpotent K_C-orbit X in p_C and the L^2-inner product involves a K-Bessel function as density.
Hilgert, Joachim, Kobayashi, Toshiyuki, Möllers, Jan, Ørsted, Bent   +3 more
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