Results 41 to 50 of about 1,718 (95)
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 +3 more
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Dual Pairs of Gauged Linear Sigma Models and Derived Equivalences of Calabi-Yau threefolds
, 2017 In this work we study the phase structure of skew symplectic sigma models, which are a certain class of two-dimensional N = (2,2) non-Abelian gauged linear sigma models.
Gerhardus, Andreas, Jockers, Hans
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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 +4 more
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Thresholds and drivers of coral calcification responses to climate change
Global Change Biology, Volume 24, Issue 11, Page 5084-5095, November 2018., 2018 Climate change and associated rises in seawater temperature and acidity are considered key drivers of coral reef degradation. The implementation of effective coral reef management is, however, hampered by contradicting outcomes in empirical research. We therefore applied a suite of meta‐analysis techniques to a dataset of 294 experimental comparisons ...
Niklas A. Kornder +2 more
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Mellin-Barnes Representation of the Topological String
, 2015 We invoke integrals of Mellin-Barnes type to analytically continue the Gopakumar-Vafa resummation of the topological string free energy in the string coupling constant, leading to additional non-perturbative terms. We also discuss in a similar manner the
Krefl, Daniel
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Gluon Regge trajectory at two loops from Lipatov's high energy effective action [PDF]
, 2013 We present the derivation of the two-loop gluon Regge trajectory using Lipatov's high energy effective action and a direct evaluation of Feynman diagrams.
Chachamis, G. +3 more
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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 +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, finite Meijer G‐transformation has been defined. A system of eigenfunctions is verified for the orthogonality condition. Operational calculus properties are shown. The classical concept of finite Meijer G‐transforms is studied in the present text.
Yashonanda Maurya +2 more
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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
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Equations in dual variables for Whittaker functions [PDF]
, 2003 It is known that the Whittaker functions $w(q,\lambda)$ associated to the group SL(N) are eigenfunctions of the Hamiltonians of the open Toda chain, hence satisfy a set of differential equations in the Toda variables $q_i$.
Babelon, O.
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