Results 51 to 60 of about 49,915 (154)

Efficient spherical surface integration of Gauss functions in three-dimensional spherical coordinates and the solution for the modified Bessel function of the first kind

Journal of Mathematical Chemistry, 2021
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Yiting Wang, Jing Kong
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Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
doaj   +1 more source

Application of Bessel functions [PDF]

, 2016
Cílem této práce je seznámení s Besselovými funkcemi a jejich vlastnostmi a nastínění jejich využití v praxi při zkoumání úlohy matematického modelu kmitání tenké kruhové desky.
Lorenczyk, Jiří
core  

Inequalities for integrals of the modified Struve function of the first kind

, 2018
Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant.
Gaunt, Robert E.
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An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

, 2017
Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
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Inequalities involving modified Bessel functions of the first kind

Journal of Mathematical Analysis and Applications, 1992
The author proves some inequalities for modified Bessel functions of the first kind which are related to a log-convexity property of the hypergeometric function \(F_{0,1}(1+\mu;x^ 2/4)\) (\(\mu>-1/2\)).
openaire   +1 more source

On Parameter Differentiation for Integral Representations of Associated Legendre Functions

Symmetry, Integrability and Geometry: Methods and Applications, 2011
For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters.
Howard S. Cohl
doaj   +1 more source

On an identity for zeros of Bessel functions

, 2014
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 ...
Baricz, Árpád, Maširević, Dragana Jankov, Pogány, Tibor K., Szász, Róbert   +3 more
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Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
doaj   +1 more source

Tricomi Problem for a Mixed-Type Equation of the Second Kind in a Domain the Elliptic Part of Which is the First Quadrant of the Plane

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In the theory of mixed-type equations, most studies have been carried out for bounded domains with smooth boundaries and for equations of the first kind.
Zunnunov, R.T., Bektosheva, Sh.A., Parovik, R.I.   +2 more
doaj   +1 more source