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Results 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
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Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals
Mathematics, 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
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Alexandria 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
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G0-WISHART DISTRIBUTION BASED CLASSIFICATION FROM POLARIMETRIC SAR IMAGES [PDF]
ISPRS 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
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Analysis of Vacation Fluid M/M/1 Queue in Multi-Phase Random Environment
Mathematics, 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
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Bounds for an integral of the modified Bessel function of the first kind and expressions involving it [PDF]
Journal of Mathematical Analysis and Applications, 2021 18 ...
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Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications [PDF]
Mathematical 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
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Powers of modified Bessel functions of the first kind
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
Communications 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
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Functional inequalities involving Bessel and modified Bessel functions of the first kind
Expositiones Mathematicae, 2008 Since the sine and cosine functions and the hyperbolic sine and cosine functions are particular cases of Bessel and modifed Bessel functions, the author extends the inequality \(\cosh x-1\), where \(\Gamma\) is Euler gamma function and \(I_{p}(x)\) is the modified Bessel function of first kind. Some properties and inequalities satisfied by \(G_{p}(x)\)
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