Results 81 to 90 of about 165,948 (320)
Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform
Alexandria Engineering Journal, 2018 Principle aim of the present study is to develop fractional kinetic equations involving generalized k-Bessel function via Sumudu transform. Also, the graphical interpretation of the solutions by employing MATLAB is given.
P. Agarwal +4 more
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, 2015 This paper derives new integral representations for products of two parabolic cylinder functions. In particular, expressions are obtained for D_{nu}(x)D_{mu}(y), with x>0 and y>0, that allow for different orders and arguments in the two parabolic ...
Veestraeten, Dirk
core +1 more source
On an identity for zeros of Bessel functions
Journal of Mathematical Analysis and Applications, 2015 In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary approach we present a new identity for the zeros of Bessel functions of the first kind, which in particular reduces to some other new identities.
Dragana Jankov Maširević +4 more
openaire +3 more sources
Incoherent Digital Holography Empowered by Wavefront and Information Engineering: A Review
Advanced Photonics Research, EarlyView.Advancements in incoherent digital holography (IDH) have been achieved via wavefront engineering (using spatial light modulators, diffractive optics, and metasurfaces) and information engineering (using compressive sensing and deep learning). This paper presents an overview of IDH with wavefront and information engineering, paving the way toward its ...
Teruyoshi Nobukawa
wiley +1 more source
On one generalization of Bessel function
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper the generalized Bessel function $J_{\mu ,\omega } ( x )$ is introduced. The function $J_{\mu ,\omega } ( x )$ is given as one solution of the following differential equation: $$ x^2{y}''+x{y}'+\left( {x-\mu ^2} \right)\left( {x+\omega ^2 ...
Nina A Virchenko, Maria O Chetvertak
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Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
Journal of Mathematics, 2021 The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions.
Arshad Hussain +4 more
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Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams
Advanced Photonics Research, EarlyView.This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng +7 more
wiley +1 more source
Evaluating the Financial Flows of Bessel Processes by Using Spectral Analysis [PDF]
Bìznes Inform, 2017 The article solves the two-parameter task of evaluating the intensity of diffuse Bessel processes by the methods of spectral theory. In particular, barriers for cost of options, where the derivative of financial flows turns into zero, have been ...
Burtnyak Ivan V. , Malytska Hanna P.
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Generation of High‐Brilliance Polarized γ‐Rays Via Vacuum Dichroism‐Assisted Vacuum Birefringence
Advanced Science, EarlyView.A novel method is proposed for generating such γ‐photon beams via the vacuum‐dichroism‐assisted quantum vacuum birefringence effect, only utilizing well‐established unpolarized electron beams and solving the critical problem of demanding polarized ones.
Chong Lv +6 more
wiley +1 more source
q-Bessel functions: the point of view of the generating function method [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1997 We show that the generating function method allows a fairly straightforward understanding of the properties of q-Bessel functions. We analyze three different forms of cylindrical q-Bessel functions so far proposed, discuss their generating functions, the
G. Dattoli, A. Torre
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