Results 101 to 110 of about 496,864 (207)

An infinitely divisible distribution involving modified Bessel functions [PDF]

Proceedings of the American Mathematical Society, 1982
We prove that the function \[ ( b a ) μ − v K μ
Ismail, Mourad E. H., Miller, Kenneth S.
openaire   +2 more sources

Geometric Nature of the Turánian of Modified Bessel Function of the First Kind

Axioms
This work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar, Dimiter Prodanov, Anish Kumar, Sourav Das   +3 more
doaj   +1 more source

Natural vibrations of thick circular plate based on the modified Mindlin theory

Archives of Mechanics, 2014
Outline of the modified Mindlin theory is presented in which the Mindlin mathematical model with three differential equations of motion for total deflection and rotations is decomposed into a single equation for pure bending vibrations with transverse ...
I. Senjanovic, N. Hadzic, N. Vladimir, D.-S. Cho   +3 more
doaj   +1 more source

The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions

, 1995
We define a q-analog of the modified Bessel and Bessel-Macdonald functions. As for the q-Bessel functions of Jackson there is a couple of functions of the both kind. They are arisen in the Harmonic analysis on quantum symmetric spaces similarly to their classical counterpart. Their definition is based on the power expansions.
Olshanetsky, M. A., Rogov, V. -B. K.
openaire   +2 more sources

A distribution associated with the Kontorovich-Lebedev transform [PDF]

Opuscula Mathematica, 2006
We show that in a sense of distributions \[\lim_{\varepsilon\to 0+} {1\over \pi^2} \tau\sinh\pi\tau \int_{\varepsilon}^{\infty} K_{i\tau}(y)K_{ix}(y){dy\over y} =\delta(\tau-x),\] where \(\delta\) is the Dirac distribution, \(\tau\), \(x\in\mathbb{R ...
Semyon B. Yakubovich
doaj  

Expansion of infinite series containing modified Bessel functions of the second kind [PDF]

, 2014
The aim of this work is to analyze general infinite sums containing modified Bessel functions of the second kind. In particular we present a method for the construction of a proper asymptotic expansion for such series valid when one of the parameters in ...
Guglielmo Fucci, K. Kirsten
semanticscholar   +1 more source

Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

Journal of Inequalities and Applications
In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions ...
Dawood Khan, Saad Ihsan Butt, Youngsoo Seol   +2 more
doaj   +1 more source

Extended Riemann-Liouville type fractional derivative operator with applications

Open Mathematics, 2017
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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  

Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]

Rev Mat Complut, 2022
Yang ZH, Tian JF.
europepmc   +1 more source