Results 21 to 30 of about 106 (55)
Discriminant coamoebas through homology [PDF]
, 2012 Understanding the complement of the coamoeba of a (reduced) A-discriminant is one approach to studying the monodromy of solutions to the corresponding system of A-hypergeometric differential equations.
Passare, Mikael, Sottile, Frank
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, 2023 We present the Mathematica package $\texttt{MultiHypExp}$ that allows for the expansion of multivariate hypergeometric functions (MHFs), especially those likely to appear as solutions of multi-loop, multi-scale Feynman integrals, in the dimensional ...
Bera, Souvik
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Geometry and Arithmetic around Hypergeometric Functions [PDF]
, 2008 [no abstract ...
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, 2022 We present a new methodology to perform the $\epsilon$-expansion of hypergeometric functions with linear $\epsilon$ dependent Pochhammer parameters in any number of variables.
Bera, Souvik
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Certain Quadruple Hypergeometric Series and their Integral Representations [PDF]
, 2019 While investigating the Exton\u27s list of twenty one hyper-geometric functions of four variables and the Sharma\u27s and Parihar\u27s list of eighty three hyper-geometric functions of four variables, we noticed existence of new hyper-geometric series of
Bin-Saad, Maged, Younis, Jihad
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An extension of basic Humbert hypergeometric functions
, 2023 Given the growing quantity of proposals and works of basic hypergeometric functions in the scope of $q$-calculus, it is important to introduce a systematic classification of $q$-calculus.
Shehata, Ayman
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Certain Integral Representations for Hypergeometric Functions of Four Variables [PDF]
, 2018 In the present work, we first introduce five new quadruple hypergeometric series and then we give integral representations of Euler type and Laplace type for these new hypergeometric series, which we denote ...
A. Younis, Jihad, Bin-Saad, Maged G.
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$\texttt{AlgRel.wl}$: Algebraic Relations for the Product of Propagators in Feynman integrals
, 2023 Motivated by the foundational work of Tarasov, who pointed out that the algebraic relations of the type considered here can lead to functional reduction of Feynman integrals.
Ananthanarayan, B. +2 more
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Towards a change of variable formula for "hypergeometrization"
, 2022 We are going to study properties of "hypergeometrization" -- an operator which act on analytic functions near the origin by inserting two Pochhammer symbols into their Taylor series. In essence, this operator maps elementary function into hypergeometric.
Blaschke, Petr
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The system of partial differential equations for the $C_{_0}$ function
, 2019 We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function.
Chang, Chao-Hsi +3 more
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