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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Comparison between the Propagation Properties of Bessel–Gauss and Generalized Laguerre–Gauss Beams
Photonics, 2023 The connections between Laguerre–Gauss and Bessel–Gauss beams, and between Hermite–Gauss and cosine-Gauss beams are investigated. We review different asymptotic expressions for generalized Laguerre and Hermite polynomials of large radial/transverse order.
Colin J. R. Sheppard, Miguel A. Porras
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Generating Functions for Bessel Functions [PDF]
Canadian Journal of Mathematics, 1959 On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a cylindrical function of order n.
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THE GENERALIZED Q-BESSEL MATRIX FUNCTION OF TWO VARIABLES
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The Bessel function is probably the best known special function, within pure and applied mathematics. In this paper, we introduce the generalized q-analogue Bessel matrix function of two variables.
Fadhl S. N. Alsarahi
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Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
Journal of Mathematics, 2021 The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol.
Waseem Ahmad Khan +4 more
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Bessel bridges decomposition with varying dimension. Applications to finance [PDF]
, 2012 We consider a class of stochastic processes containing the classical and well-studied class of Squared Bessel processes. Our model, however, allows the dimension be a function of the time.
D Revuz +12 more
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Optimal embeddings and compact embeddings of Bessel-potential-type spaces [PDF]
, 2008 First, we establish necessary and sufficient conditions for embeddings of Bessel potential spaces H^ σ X(R^n) with order of smoothness less than one, modelled upon rearrangement invariant Banach function spaces X(R^n), into generalized Hölder spaces.
Gogatishvili, Amiran +2 more
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Certain fractional kinetic equations involving the product of generalized k-Bessel function
Alexandria Engineering Journal, 2016 We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the ...
Praveen Agarwal +2 more
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Generalized Bessel Functions and Generalized Hermite Polynomials
Journal of Mathematical Analysis and Applications, 1993 The authors explore some interesting connections of certain generalized Bessel functions [J. Math. Phys. 33, No. 1, 25-36 (1992; Zbl 0752.33009)] with the generalized Hermite polynomials of \textit{H. W. Gould} and \textit{A. T. Hopper} [Duke Math. J. 29, 51-63 (1962; Zbl 0108.065)].
Dattoli, G. +4 more
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The Extended Bessel-Maitland Function and Integral Operators Associated with Fractional Calculus
Journal of Mathematics, 2020 The aim of this paper is to introduce a presumably and remarkably altered integral operator involving the extended generalized Bessel-Maitland function. Particular properties are considered for the extended generalized Bessel-Maitland function connected ...
Kelelaw Tilahun +2 more
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