Results 91 to 100 of about 80,976 (233)

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

Journal of Inequalities and Applications, 2017
In the article, we prove that the double inequalities [Formula: see text] hold for all [Formula: see text] if and only if [Formula: see text] and [Formula: see text] if [Formula: see text], where [Formula: see text] is the modified Bessel function of the second kind.
Zhen-Hang Yang, Yu-Ming Chu
openaire   +3 more sources

Alternative Price Dynamics and Valuation of Flexible Strategies

International Journal of Finance &Economics, EarlyView.
ABSTRACT In this article, we study the optimal operational strategy of production projects. We investigate different underlying price models and determine the optimal barriers of transition to suspension, recovery, or irreversible abandonment of productive activity.
Cristina Bertolosi, Gianluca Fusai, Ioannis Kyriakou   +2 more
wiley   +1 more source

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

Recent Advances in Photonic Bound States in the Continuum: From Fundamentals to Engineering and Implementation

Laser &Photonics Reviews, EarlyView.
This review summarizes recent progress in meta‐photonics with a focus on bound states in the continuum (BICs) as a powerful platform for light confinement and control. It covers fundamental concepts, design strategies across optical regimes, symmetry breaking for practical quasi‐BICs, tunable and AI‐assisted BIC devices, and emerging applications in ...
Hafiz Saad Khaliq, Hak‐Rin Kim
wiley   +1 more source

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  

"Normal" Distribution Functions on Spheres and the Modified Bessel Functions

The Annals of Probability, 1974
In $R^n$, Brownian diffusion leads to the normal or Gaussian distribution. On the sphere $S^n$, diffusion does not lead to the Fisher distribution which often plays the role of the normal distribution on $S^n$. On the circle $(S^1)$ and sphere $(S^2)$, they are known to be numerically close.
Hartman, Philip, Watson, Geoffrey S.
openaire   +2 more sources

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +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