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\texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms - MaRDI portal

\texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms (Q6124636)

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scientific article; zbMATH DE number 7826281

Language	Label	Description	Also known as
English	\texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms	scientific article; zbMATH DE number 7826281

Statements

scholarly article

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\texttt{MultiHypExp}: a \textsc{Mathematica} package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms (English)

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Computer Physics Communications

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publication date

28 March 2024

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full work available at URL

https://arxiv.org/abs/2306.11718

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zbMATH Keywords

multivariate hypergeometric functions

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series expansion

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Feynman integrals

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multiple polylogarithms

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Pfaffian system

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MaRDI profile type

MaRDI publication profile

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Theory of Hypergeometric Functions

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Mellin-Barnes integrals. A primer to particle physics applications

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Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation

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Functional reduction of one-loop Feynman integrals with arbitrary masses

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Generalized Euler integrals and \(A\)-hypergeometric functions

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Feynman integrals as A-hypergeometric functions

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Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

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On the all-order \(\epsilon \)-expansion of generalized hypergeometric functions with integer values of parameters

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Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters

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A new approach to the epsilon expansion of generalized hypergeometric functions

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Derivatives of the Pochhammer and reciprocal Pochhammer symbols and their use in epsilon-expansions of Appell and Kampé de Fériet functions

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Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

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Expansion around half-integer values, binomial sums, and inverse binomial sums

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A symbolic summation approach to Feynman integral calculus

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Hypergeometric structures in Feynman integrals

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Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

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Hypexp 2, expanding hypergeometric functions about half-integer parameters

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XSummer -- transcendental functions and symbolic summation in form

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Symbolic expansion of transcendental functions

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Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

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NumExp: numerical epsilon expansion of hypergeometric functions

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Numerical evaluation of harmonic polylogarithms

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HPL, a Mathematica implementation of the harmonic polylogarithms

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CHAPLIN -- complex harmonic polylogarithms in Fortran

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Numerical evaluation of multiple polylogarithms

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Numerical implementation of harmonic polylogarithms to weight w = 8

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Pfaffian of Appell's hypergeometric system \(\mathcal{F}_4\) in terms of the intersection form of twisted cohomology groups

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MONODROMY AND PFAFFIAN OF LAURICELLA^|^apos;S FD IN TERMS OF THE INTERSECTION FORMS OF TWISTED (CO)HOMOLOGY GROUPS

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Transforming differential equations of multi-loop Feynman integrals into canonical form

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Reducing differential equations for multiloop master integrals

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Magnus and Dyson series for master integrals

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\texttt{epsilon}: a tool to find a canonical basis of master integrals

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Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form

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Gröbner basis and the problem of contiguous relations

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Hypergeometric functions differential reduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: \(F_D\) and \(F_S\) Horn-type hypergeometric functions of three variables

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HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables

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HYPERDIRE -- hypergeometric functions differential reduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function \(F_C\) of three variables

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A fast approach to creative telescoping

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Rationalizing roots: an algorithmic approach

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Extending the factorization principle to hypergeometric series of general form

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On some formulas for the Horn functions <i>H</i><sub>1</sub>(<i>a,b,c;d;w,z</i>) and <i>H</i><sub>1</sub><sup>(<i>c</i>)</sup>(<i>a,b;d;w,z</i>)

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Some reduction and transformation formulas for the Appell hypergeometric function \(F_{2}\)

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CPC.2023.109060

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Sitelinks

Mathematics(1 entry)

mardi Publication:6124636

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