Results 31 to 40 of about 1,423 (86)

Space‐Time Smoothness and Parsimony in Covariance Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 13247-13259, September 2025.
ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi, Emilio Porcu, Moreno Bevilacqua   +2 more
wiley   +1 more source

Finite Integral Formulas Involving Multivariable Aleph‐Functions

Journal of Applied Mathematics, Volume 2019, Issue 1, 2019., 2019
The integrals evaluated are the products of multivariable Aleph‐functions with algebraic functions, Jacobi polynomials, Legendre functions, Bessel‐Maitland functions, and general class of polynomials. The main results of our paper are quite general in nature and competent at yielding a very large number of integrals involving polynomials and various ...
Hagos Tadesse, D. L. Suthar, Minilik Ayalew, Kai Diethelm   +3 more
wiley   +1 more source

New proofs for the two Barnes lemmas and an additional lemma

, 2012
Mellin-Barnes (MB) representations have become a widely used tool for the evaluation of Feynman loop integrals appearing in perturbative calculations of quantum field theory.
Jantzen, Bernd
core   +1 more source

Reconciling Variability in Multiple Stressor Effects Using Environmental Performance Curves

Ecology Letters, Volume 28, Issue 1, January 2025.
Our experiments with 12 bacterial taxa, demonstrate that additional stressors significantly alter the shape of temperature, pH and salinity performance curves. This in turn leads to changes in emergent stressor interaction outcomes—for example, shifts between additive, antagonistic or synergistic interactions—along gradients, revealing that small ...
Hebe Carmichael, Ruth Warfield, Gabriel Yvon‐Durocher   +2 more
wiley   +1 more source

A Study on Generalized Multivariable Mittag‐Leffler Function via Generalized Fractional Calculus Operators

Journal of Mathematics, Volume 2019, Issue 1, 2019., 2019
We study some properties of generalized multivariable Mittag‐Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H‐function as kernel. Relating affirmations in terms of Saigo, Erdélyi‐Kober, Riemann‐Liouville, and Weyl type of fractional integrals ...
D. L. Suthar, Mitku Andualem, Belete Debalkie, Viliam Makis   +3 more
wiley   +1 more source

Resummation at finite conformal spin [PDF]

, 2019
We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in \cite{arXiv:1806.10919, arXiv:1808.00612} to arbitrary space-time dimensions.
Cardona, Carlos, Guha, Sunny, Kanumilli, Surya Kiran, Sen, Kallol   +3 more
core   +2 more sources

Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami, Safoura Rezaei Aderyani, Reza Saadati, Mohammad Bagher Ghaemi, Cruz Vargas-De-León   +4 more
wiley   +1 more source

Generalized Fractional Integral Operators Involving Mittag‐Leffler Function

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
The aim of this paper is to study various properties of Mittag‐Leffler (M‐L) function. Here we establish two theorems which give the image of this M‐L function under the generalized fractional integral operators involving Fox’s H‐function as kernel.
Hafte Amsalu, D. L. Suthar, Khalil Ezzinbi   +2 more
wiley   +1 more source

Images for the Y‐Function via Marichev–Saigo–Maeda Fractional Integration and Differentiation Operators

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Y‐function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric‐type functions. Applying the Marichev–Saigo–Maeda fractional integration and differentiation operators of any complex order to the Y‐function, this study establishes four ...
Engdasew Birhane, D. L. Suthar, Shikha Binwal   +2 more
wiley   +1 more source

One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals

, 2003
We show that at one-loop order, negative-dimensional, Mellin-Barnes' (MB) and Feynman parametrization (FP) approaches to Feynman loop integrals calculations are equivalent.
A G M Schmidt, A T Suzuki, Belokurov V V, Bern Z, Binoth T Heinrich G, Boos É É, Celmaster W, Davydychev A I, Davydychev A I, Davydychev A I, Davydychev A I, Davydychev A I, del Duca V, E S Santos, Hughes V W, Lampe B, Laporta S, Suzuki A T, Suzuki A T, Suzuki A T Santos E S Schmidt A G M, Tkachov F V, Weinzierl S, Weinzierl S, Weinzierl S   +23 more
core   +1 more source