Results 61 to 70 of about 5,430,616 (156)

A method for computing Bessel function integrals

open access: yes, 1972
Infinite integrals involving Bessel functions are recast, by means of an Abel transform, in terms of Fourier integrals. As there are many efficient numerical methods for computing Fourier integrals, this leads to a convenient way of approximating Bessel ...
Peter Linz
core   +1 more source

Accurate Analytical Approximation for the Bessel Function J2(x)

open access: yesMathematical and Computational Applications
We obtain an accurate analytic approximation for the Bessel function J2(x) using an improved multipoint quasirational approximation technique (MPQA). This new approximation is valid for all real values of the variable x, with a maximum absolute error of ...
Pablo Martin   +3 more
doaj   +1 more source

Received Probability of Vortex Modes Carried by Localized Wave of Bessel–Gaussian Amplitude Envelope in Turbulent Seawater

open access: yesJournal of Marine Science and Engineering, 2019
By using the two-frequency coherence function model of a beam in a turbulent medium and the localized wave theory of the polychromatic beam, we develop the spectrum average mutual coherence function of the localized wave of Bessel−Gaussian ...
Shibao Deng, Yun Zhu, Yixin Zhang
doaj   +1 more source

FOURIER-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE LP [PDF]

open access: yes, 2016
In this paper, we obtain an analog of Youniss Theorem 5.2 in [5] forthe generalized Fourier-Bessel transform on the real line for functions satisfying the Fourier-Bessel Lipschitz condition in the space ...
Daher, Radouan   +2 more
core  

UNIFIED BESSEL, MODIFIED BESSEL, SPHERICAL BESSEL AND BESSEL-CLIFFORD FUNCTIONS

open access: yes, 2016
In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [H. M. Srivastava, A. cetinkaya and 0. Kiymaz, A certain generalized Pochhammer symbol and its applications
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
core  

Dielectric Metalens for Superoscillatory Focusing Based on High-Order Angular Bessel Function. [PDF]

open access: yesNanomaterials (Basel), 2022
Li Y   +6 more
europepmc   +1 more source

Certain geometric properties of generalized Bessel-Maitland function

open access: yes, 2023
In the present study, we first introduce Generalized Bessel-Maitland function and then derive sufficient conditions under which the Generalized Bessel-Maitland function have geometric properties like univalency, starlikeness and convexity in the open ...
SONI, Amit, BANSAL, Deepak
core   +1 more source

Pauli Manuscript Collection: Watson: Bessel function

open access: yes, 2002
Calculations on the Bessel function by Watson, on page 172 of a ...
[unknown]
core  

Uniform convergence of basic Fourier–Bessel series on a q-linear grid [PDF]

open access: yes, 2019
We study Fourier–Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the Third Jackson q-Bessel function (or, the Hahn-Exton q-Bessel function), and obtain sufficient conditions for uniform ...
Abreu, L. D.   +2 more
core   +1 more source

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