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Inequalities on an extended Bessel function [PDF]
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
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Dataset of Bessel function Jn maxima and minima to 600 orders and 10000 extrema [PDF]
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
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A Limit Relation for Dunkl-Bessel Functions of Type A and B [PDF]
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
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Generalized Bessel function of Type D [PDF]
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
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The Bessel equation on the quantum calculus [PDF]
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
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Assessment of Hydrostatic Stress and Thermo Piezoelectricity in a Laminated Multilayered Rotating Hollow Cylinder [PDF]
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
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On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions
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
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On Geometric Properties of Bessel–Struve Kernel Functions in Unit Disc
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
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THE GENERALIZED Q-BESSEL MATRIX FUNCTION OF TWO VARIABLES
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
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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