Results 21 to 30 of about 1,282,859 (290)

SOME BASIC PROPERTIES OF THE NOISE REINFORCED BROWNIAN MOTION

Barekeng, 2022
Noise reinforced Brownian motion appears as the universal limit of the step reinforced random walk. This article aims to study some basic properties of the noise reinforced Brownian motion.
Herry Pribawanto Suryawan
doaj   +1 more source

Some Useful Integral Representations for Information-Theoretic Analyses

Entropy, 2020
This work is an extension of our earlier article, where a well-known integral representation of the logarithmic function was explored and was accompanied with demonstrations of its usefulness in obtaining compact, easily-calculable, exact formulas for ...
Neri Merhav, Igal Sason
doaj   +1 more source

On the Preservation with Respect to Nonlinear Perturbations of the Stability Property for Nonautonomous Linear Neutral Fractional Systems with Distributed Delays

Mathematics, 2022
In the present paper, sufficient conditions are obtained under which the Cauchy problem for a nonlinearly perturbed nonautonomous neutral fractional system with distributed delays and Caputo type derivatives has a unique solution in the case of initial ...
Ekaterina Madamlieva, Hristo Kiskinov, Milena Petkova, Andrey Zahariev   +3 more
doaj   +1 more source

Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay

Mathematics, 2020
The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend
Ekaterina Madamlieva, Mihail Konstantinov, Marian Milev, Milena Petkova   +3 more
doaj   +1 more source

Analytical Calculations of the Quantum Tsallis Thermodynamic Variables

Physics, 2022
In this paper, we provide an account of analytical results related to the Tsallis thermodynamics that have been the subject matter of a lot of studies in the field of high-energy collisions.
Ayman Hussein, Trambak Bhattacharyya
doaj   +1 more source

Green's function for the lossy wave equation

Revista Brasileira de Ensino de Física
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
doaj   +1 more source

Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

, 2009
The method for obtaining functional equations, recently proposed by one of the authors, is applied to one-loop box integrals needed in calculations of radiative corrections to heavy-quark production and Bhabha scattering. We present relationships between
Appell, Beenakker, Bern, Bern, Bern, Bernd A. Kniehl, Bhabha, Bonciani, Bonciani, Bytev, Davydychev, Davydychev, Duplancic, Duplancic, Erdélyi, Fleischer, Fleischer, Fleischer, Huber, Huber, Huber, Kalmykov, Kalmykov, Kalmykov, Kazakov, Kurihara, Körner, Nason, Nason, Nason, Oleg V. Tarasov, Prudnikov, Srivastava, Tarasov, Tarasov, Tarasov, Tarasov, van Neerven   +37 more
core   +1 more source

On New Matrix Version Extension of the Incomplete Wright Hypergeometric Functions and Their Fractional Calculus

Mathematics, 2022
Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using the extended incomplete Pochhammer matrix symbol.
Ahmed Bakhet, Abd-Allah Hyder, Areej A. Almoneef, Mohamed Niyaz, Ahmed H. Soliman   +4 more
doaj   +1 more source

A novel integral representation for the Adler function [PDF]

, 2006
New integral representations for the Adler D-function and the R-ratio of the electron-positron annihilation into hadrons are derived in the general framework of the analytic approach to QCD.
A V Nesterenko, ALEPH, Baldicchi M Prosperi G M, Baldicchi M Prosperi G M, Bjorken J D, Bogoliubov N N, Bogoliubov N N, Cvetic G Valenzuela C, Cvetic G Valenzuela C Schmidt I, Davier M, Davier M Hocker A Zhang Z, Dorokhov A E, Feynman R P, Fischer J, J Papavassiliou, Jegerlehner F, Passera M, Peris S, Radyushkin A V, Radyushkin A V, Radyushkin A V, Shirkov D V, Shirkov D V, Solovtsov I L, Solovtsov I L   +24 more
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Integrating Multiple Representations [PDF]

Qualitative Inquiry, 2013
This article seeks to engage debates about integrating pluralisms regarding multiple forms/representations and how they might function smoothly if they are closely aligned. This article offers, narrative poetry with an artistic impression aimed at seeing how these might interact with each other.
openaire   +1 more source