Results 21 to 30 of about 165 (147)

Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
doaj   +1 more source

Double Integral involving the Product of the Bessel Function of the First Kind and Modified Bessel Function of the Second Kind: Derivation and Evaluation

open access: yesEuropean Journal of Pure and Applied Mathematics, 2022
A double integral whose kernel involves the Bessel functions Kv(xβ) and Jv(yα) is derived. This integral is expressed in terms of the Hurwitz-Lerch zeta function and evaluated for various values of the parameters involved. Some examples are evaluated and expressed in terms of fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
openaire   +1 more source

Inequalities involving modified Bessel functions of the first kind II

open access: yesJournal of Mathematical Analysis and Applications, 2007
The paper deals with the modified Bessel function of the first kind and order \(p\), denoted by \(I_{p}(x)\), \(x\in R\), \(p\neq -1,-2,\dots\) and the functions \(\mathcal{I}_{p}(x)=2^{p}\Gamma (p+1)x^{-p}I_{p}(x)\), \(\gamma _{p}(x)=\mathcal{I}_{p}(\sqrt{x})\) and \(v_{p}(x)=2(p+1){{\gamma _{p}(x^{2})}\over {\gamma _{p+1}(x^{2})}}\).
Baricz, Árpád, Neuman, Edward
openaire   +2 more sources

The trajectory of a charged particle in the magnetic field of an infinite current carrying wire in the nonrelativistic limit

open access: yesResults in Physics, 2019
We have calculated in a closed form solution, in terms of modified Bessel function the first kind of order 0 and 1, for the motion of a positively charged particle in the magnetic field of an infinitely long, current-carrying wire in the nonrelativistic ...
Masoud Asadi-Zeydabadi, Clyde S. Zaidins
doaj   +1 more source

Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals

open access: yesMathematics, 2021
The cumulative distribution function of the non-central chi-square distribution χn′2(λ) of n degrees of freedom possesses an integral representation. Here we rewrite this integral in terms of a lower incomplete gamma function applying two of the second ...
Árpád Baricz   +2 more
doaj   +1 more source

Viscoelastic fluid flow through an annulus with relaxation, retardation effects and external heat source/sink

open access: yesAlexandria Engineering Journal, 2018
Analysis of unsteady hydro-magnetic viscoelastic fluid flow through an annulus (bounded by two infinite co-axial circular cylinders) has been made in presence of radiation, periodic pressure gradient and external heat source/sink.
Debasish Dey
doaj   +1 more source

G0-WISHART DISTRIBUTION BASED CLASSIFICATION FROM POLARIMETRIC SAR IMAGES [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017
Enormous scientific and technical developments have been carried out to further improve the remote sensing for decades, particularly Polarimetric Synthetic Aperture Radar(PolSAR) technique, so classification method based on PolSAR images has getted much
G. C. Hu, Q. H. Zhao
doaj   +1 more source

Analysis of Vacation Fluid M/M/1 Queue in Multi-Phase Random Environment

open access: yesMathematics, 2023
An M/M/1 fluid queue with various vacations is studied in the context of a multi-phase random environment. When the system is in operation (i = 1, 2, …, n), it behaves according to the M/M/1 fluid queue model.
Sherif I. Ammar   +2 more
doaj   +1 more source

Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications [PDF]

open access: yesMathematical Inequalities & Applications, 2018
Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ^{2}$ on $\left( 0,\infty \right) $.
Yang, Zhen-Hang, Zheng, Shen-Zhou
openaire   +2 more sources

Home - About - Disclaimer - Privacy