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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Integral transforms involving a generalized k-Bessel function
Demonstratio Mathematica, 2023 The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler ...
Khammash Ghazi S. +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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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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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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An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +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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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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Normalized generalized Bessel function and its geometric properties
Journal of Inequalities and Applications, 2022 The normalization of the generalized Bessel functions U σ , r $\mathrm{U}_{\sigma,r}$ ( σ , r ∈ C ) $(\sigma,r\in \mathbb{C}\mathbbm{)}$ defined by U σ , r ( z ) = z + ∑ j = 1 ∞ ( − r ) j 4 j ( 1 ) j ( σ ) j z j + 1 $$\begin{aligned} \mathrm{U}_{\sigma,r}
Hanaa M. Zayed, Teodor Bulboacă
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