Results 31 to 40 of about 496,864 (207)
Inequalities for Modified Bessel Functions [PDF]
A sequence of sharp versions of the inequality I v + 1 ( x ) > I v ( x ) , v > − 1 2
openaire +2 more sources
On a Sum of Modified Bessel Functions [PDF]
In this paper we consider a sum of modified Bessel functions of the first kind of which particular case is used in the study of Kanter's sharp modified Bessel function bound for concentrations of some sums of independent symmetric random vectors. We present some monotonicity and convexity properties for that sum of modified Bessel functions of the ...
Baricz, Árpád, Pogány, Tibor K.
openaire +4 more sources
On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo +4 more
doaj +1 more source
Absorption Cross Section of Scalar Field in Supergravity Background [PDF]
It has recently been shown that the equation of motion of a massless scalar field in the background of some specific p branes can be reduced to a modified Mathieu equation.
Aharony +29 more
core +3 more sources
Extension of Oppenheim's Problem to Bessel Functions
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
doaj +1 more source
The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation.
Anna Witenberg
doaj +1 more source
On some integrals of products of cylindrical functions
For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
doaj +1 more source
Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
J. Segura
semanticscholar +3 more sources
New index transforms with the product of Bessel functions [PDF]
New index transforms are investigated, which contain as the kernel products of the Bessel and modified Bessel functions. Mapping properties and invertibility in Lebesgue spaces are studied for these operators.
Yakubovich, Semyon
core +2 more sources
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

