Results 31 to 40 of about 177,288,010 (224)

Integral formula for the Bessel function of the first kind [PDF]

open access: yes, 2022
In this paper, we prove a new integral representation for the Bessel function of the first kind $J_\mu(z)$. This formula generalizes to any $\mu,z\in\mathbb{C}$ the classical representations of Bessel and Poisson.Comment: 8 pages.
De Micheli, Enrico
core   +1 more source

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

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

SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND

open access: yesCommunications of the Korean Mathematical Society, 2016
Abstract. By employing a refined version of the P´olya type integralinequality and other techniques, the authors establish some inequalitiesand absolute monotonicity for modified Bessel functions of the first kindwith nonnegative integer order. 1. Main resultsIt is well known that modified Bessel functions of the first kind I ±ν (z) aresolutions of the ...
Bai-Ni Guo, Qi, Feng
openaire   +2 more sources

Insights into the Degradation Mechanism of Aqueous LiMn2O4–Cathode Interfaces by Computational Vibrational Spectroscopy

open access: yesAngewandte Chemie, EarlyView.
LiMn2O4${\rm LiMn}_2{\rm O}_4$ is of high interest for sustainable energy storage and conversion. Its mixed‐valence Mn3+${\rm Mn}^{3+}$/Mn4+${\text{Mn}}^{4+}$ structure drives site‐specific behavior at aqueous interfaces, featuring proton‐generating Mn4+${\text{Mn}}^{4+}$ centers and electron‐rich Mn3+${\rm Mn}^{3+}$ sites that render the surrounding ...
K. Nikolas Lausch   +3 more
wiley   +2 more sources

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