Results 1 to 10 of about 92,555 (240)

On approximating the modified Bessel function of the second kind [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In the article, we prove that the double inequalities π e − x 2 ( x + a ) < K 0 ( x ) < π e − x 2 ( x + b ) , 1 + 1 2 ( x + a ) < K 1 ( x ) K 0 ( x ) < 1 + 1 2 ( x + b ) $$ \frac{\sqrt{\pi}e^{-x}}{\sqrt{2(x+a)}}< K_{0}(x)< \frac{\sqrt{\pi }e^{-x}}{\sqrt ...
Zhen-Hang Yang, Yu-Ming Chu
doaj   +2 more sources

Aplikasi Persamaan Bessel Orde Nol Pada Persamaan Panas Dua Dimensi [PDF]

open access: yesJurnal Fourier, 2013
Bessel differential equation is one of the applied equation in physics is about heat transfer. Application of modified Bessel function of order zero on heat transfer process of two-dimensional objects which can be modelled in the form of a two-order ...
Annisa Eki Mulyati, Sugiyanto Sugiyanto
doaj   +3 more sources

On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions

open access: yesMathematics, 2022
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
doaj   +1 more source

Relation of Some Known Functions in terms of Generalized Meijer G-Functions

open access: yesJournal of Mathematics, 2021
The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah   +3 more
doaj   +1 more source

The Bessel equation on the quantum calculus

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
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
doaj   +1 more source

A New Expression for the Coulomb Potential Corresponding to the Product of Two Exponential Functions Based on the Properties of the Integral Representations of the Bessel Functions

open access: yesTrends in Computational and Applied Mathematics, 2023
The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo   +4 more
doaj   +1 more source

Bayesian Inference of a Non normal Multivariate Partial Linear Regression Model [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2021
This research includes the Bayesian estimation of the parameters of the multivariate partial linear regression model when the random error follows the matrix-variate generalized modified Bessel distribution and found the statistical test of the model ...
Sarmad Abdulkhaleq Salih, Emad Aboudi
doaj   +1 more source

Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions

open access: yesJournal of Kufa for Mathematics and Computer, 2018
We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
doaj   +1 more source

Asymptotic expansions for the first hitting times of Bessel processes [PDF]

open access: yesOpuscula Mathematica, 2021
We study a precise asymptotic behavior of the tail probability of the first hitting time of the Bessel process. We deduce the order of the third term and decide the explicit form of its coefficient.
Yuji Hamana   +2 more
doaj   +1 more source

New index transforms of the Lebedev- Skalskaya type [PDF]

open access: yes, 2015
New index transforms, involving the real part of the modified Bessel function of the first kind as the kernel are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces ...
Yakubovich, Semyon
core   +2 more sources

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