Analytical expression for the exact curved surface area and volume of hyperboloid of two sheets via Mellin-Barnes type contour integration [PDF]
Journal of Mahani Mathematical Research, 2023 In this article, we aim at obtaining the analytical expression (not previously found and recorded in the literature) for the exact curved surface area of a hyperboloid of two sheets in terms of Appell's double hypergeometric function of second kind and ...
M.A. Pathan, M. Qureshi, Javid Majid
doaj +4 more sources
AxiomsIn this paper, motivated by the contributions of several researchers, including (for example) Riemann, Kronecker, Lerch, Ramanujan, and Glaisher on some special integrals known as Mordell’s integrals, we consider the problem of the evaluation of some ...
Hari Mohan Srivastava +3 more
doaj +2 more sources
Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions [PDF]
, 2016 Mellin-Barnes (MB) techniques applied to integrals emerging in particle physics perturbative calculations are summarized. New versions of AMBRE packages which construct planar and nonplanar MB representations are shortly discussed.
Dubovyk, Ievgen +3 more
core +3 more sources
On monodromy representation of period integrals associated to an algebraic curve with bi-degree (2,2) [PDF]
, 2017 We study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve $\cal Y$ with bi-degree (2,2) in a product of projective lines ${\Bbb P}^{1} \times {\Bbb P}^{1}$.
Tanabé, Susumu
core +3 more sources
On a new Theorem Involving Generalized Mellin-Barnes Type of Contour Integral and Srivastava Polynomials [PDF]
Journal of Applied Mathematics, Statistics and Informatics, 2012 Abstract Motivated by resent work of Agarwal [1], the author is establish the new theorem associated with the H - function (Generalized Mellin-Barnes type of Contour Integral), which was introduced and study in a series of papers by by Inayat -Hussain ([12], [13]).Theorem involves a product of the H -function, Generalized hypergeometric functions ...
openaire +2 more sources
New prospects for the numerical calculation of Mellin-Barnes integrals in Minkowskian kinematics [PDF]
, 2017 During the last several years remarkable progress has been made in numerical calculations of dimensionally regulated multi-loop Feynman diagrams using Mellin-Barnes (MB) representations. The bottlenecks were non-planar diagrams and Minkowskian kinematics.
Dubovyk, Ievgen +4 more
core +3 more sources
From duality to determinants for q-TASEP and ASEP [PDF]
, 2012 We prove duality relations for two interacting particle systems: the $q$-deformed totally asymmetric simple exclusion process ($q$-TASEP) and the asymmetric simple exclusion process (ASEP).
Borodin, Alexei +2 more
core +1 more source
Recursion Relations in $p$-adic Mellin Space [PDF]
, 2018 In this work, we formulate a set of rules for writing down $p$-adic Mellin amplitudes at tree-level. The rules lead to closed-form expressions for Mellin amplitudes for arbitrary scalar bulk diagrams.
Jepsen, Christian Baadsgaard +1 more
core +2 more sources
Dual parametrization of generalized parton distributions in two equivalent representations [PDF]
, 2014 The dual parametrization and the Mellin-Barnes integral approach represent two frameworks for handling the double partial wave expansion of generalized parton distributions (GPDs) in the conformal partial waves and in the $t$-channel ${\rm SO}(3 ...
Müller, Dieter +2 more
core +2 more sources