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Inequalities on an extended Bessel function [PDF]

open access: yesJournal of Inequalities and Applications, 2018
This paper studies an extended Bessel function of the form Bb,p,ca(x):=∑k=0∞(−c)kk!Γ(ak+p+b+12)(x2)2k+p. $$ {}_{a}\mathtt{B}_{b, p, c}(x):= \sum _{k=0}^{\infty }\frac{(-c)^{k}}{k! \Gamma { ( a k +p+\frac{b+1}{2} ) } } \biggl( \frac{x}{2} \biggr) ^{2k+p}.
Rosihan M. Ali   +2 more
doaj   +6 more sources

Dataset of Bessel function Jn maxima and minima to 600 orders and 10000 extrema [PDF]

open access: yesData in Brief, 2021
Bessel functions of the first kind are ubiquitous in the sciences and engineering in solutions to cylindrical problems including electrostatics, heat flow, and the Schrödinger equation.
Nicholas A. Mecholsky   +4 more
doaj   +2 more sources

A Limit Relation for Dunkl-Bessel Functions of Type A and B [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We prove a limit relation for the Dunkl-Bessel function of type BN with multiplicity parameters k_1 on the roots ±ei and k_2 on ±e_i±e_j where k_1 tends to infinity and the arguments are suitably scaled.
Margit Rösler, Michael Voit
doaj   +5 more sources

Generalized Bessel function of Type D [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We write down the generalized Bessel function associated with the root system of type D by means of multivariate hypergeometric series. Our hint comes from the particular case of the Brownian motion in the Weyl chamber of type D.
Nizar Demni
doaj   +7 more sources

The Bessel equation on the quantum calculus [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions.
S. Shaimardan   +2 more
doaj   +2 more sources

Assessment of Hydrostatic Stress and Thermo Piezoelectricity in a Laminated Multilayered Rotating Hollow Cylinder [PDF]

open access: yesMechanics of Advanced Composite Structures, 2021
In this paper, we built a mathematical model to study the influence of the initial stress on the propagation of waves in a hollow infinite multilayered composite cylinder.
S. Mahesh, R. Selvamani, F. Ebrahami
doaj   +1 more source

On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions

open access: yesMathematics, 2022
In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The
Mohsan Raza   +4 more
doaj   +1 more source

On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc

open access: yesMathematics, 2022
The Bessel–Struve kernel function defined in the unit disc is used in this study. The Bessel–Struve kernel functions are generalized in this article, and differential equations are derived.
Najla M. Alarifi, Saiful R. Mondal
doaj   +1 more source

THE GENERALIZED Q-BESSEL MATRIX FUNCTION OF TWO VARIABLES

open access: yesمجلّة 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
doaj   +1 more source

Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties

open access: yesJournal 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
doaj   +1 more source

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