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References from Numerical analytical continuation of multivariate hypergeometric functions. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2022 · External reference
Mellin-barnes integrals: a primer on particle physics applications
10.1007/978-3-031-14272-7 · 2022 · External reference
Unresolved reference
2006 · External reference
Hypergeometric representation of the two-loop equal mass sunrise diagram
10.1016/j.physletb.2006.05.033 · 2006 · External reference
Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D
10.1016/j.nuclphysb.2009.12.025 · 2010 · External reference
DRA method: powerful tool for the calculation of the loop integrals
10.1088/1742-6596/368/1/012050 · 2012 · External reference
Functional reduction of one-loop feynman integrals with arbitrary masses
10.1007/jhep06(2022)155 · 2022 · External reference
On series and integral representations of some NRQCD master integrals
10.1134/s0021364022601026 · 2022 · External reference
Non-planar elliptic vertex
10.1007/jhep04(2022)045 · 2022 · External reference
Hypergeometric structures in feynman integrals
10.1007/s10472-023-09831-8 · 2023 · External reference
Feynman amplitudes as power series
10.1103/physrevd.8.2708 · 1973 · External reference
One loop integrals revisited. 1. the two point functions
10.1007/bf01559496 · 1992 · External reference
One loop integrals revisited. 2. the three point functions
10.1142/s0217751x93000758 · 1993 · External reference
Loop integrals, R functions and their analytic continuation
10.1142/s0217732394002203 · 1994 · External reference
A method of evaluating massive Feynman integrals
10.1007/bf01016805 · 1991 · External reference
General results for massive N point Feynman diagrams with different masses
10.1063/1.529914 · 1992 · External reference
Two loop two point functions with masses: asymptotic expansions and Taylor series, in any dimension
10.1007/bf01474625 · 1993 · External reference
Hypergeometric functions and Feynman diagrams
2020 · External reference
HypExp: a mathematica package for expanding hypergeometric functions around integer-valued parameters
10.1016/j.cpc.2006.01.007 · 2006 · External reference
HypExp 2, expanding hypergeometric functions about half-integer parameters
10.1016/j.cpc.2007.12.008 · 2008 · External reference
XSummer: transcendental functions and symbolic summation in form
10.1016/j.cpc.2005.12.014 · 2006 · External reference
Symbolic expansion of transcendental functions
10.1016/s0010-4655(02)00261-8 · 2002 · External reference
Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
10.1063/1.4811117 · 2013 · External reference
NumExp: numerical epsilon expansion of hypergeometric functions
10.1016/j.cpc.2013.03.016 · 2013 · External reference
MultiHypExp: a mathematica package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms
10.1016/j.cpc.2023.109060 · 2024 · External reference
Expansion of hypergeometric functions in terms of polylogarithms with a nontrivial change of variables
10.1134/s0040577924060011 · 2024 · External reference
A new approach to the epsilon expansion of generalized hypergeometric functions
10.1016/j.cpc.2013.10.001 · 2014 · External reference
Derivatives of the pochhammer and reciprocal pochhammer symbols and their use in epsilon-expansions of appell and Kampé de Fériet functions
10.1063/1.4870619 · 2014 · External reference
PySecDec: a toolbox for the numerical evaluation of multi-scale integrals
10.1016/j.cpc.2017.09.015 · 2018 · External reference
Unresolved reference
External reference
Hypergeometric functions of two variables
10.1007/bf02392635 · 1950 · External reference
Integration of the partial differential equations for the hypergeometric functions F1 and FD of two and more variables
10.1063/1.1704134 · 1964 · External reference
Unresolved reference
External reference
Olsson.wl: a mathematica package for the computation of linear transformations of multivariable hypergeometric functions
10.1007/978-981-97-0289-3_179 · 2024 · External reference
Analytic continuations and numerical evaluation of the appell F1, F3, lauricella FD(3) and lauricella-saran FS(3) and their application to feynman integrals
10.1016/j.cpc.2024.109386 · 2025 · External reference
Analytic continuation of Appell’s hypergeometric series F 2 to the vicinity of the singular point x= 1, y= 1
10.1063/1.1664871 · 1969 · External reference
Analytic continuation formulas and jacobi-type relations for Lauricella function
10.1134/s1064562416020022 · 2016 · External reference
On the analytic continuation of the Lauricella function fd(n)
10.1134/s0001434616070282 · 2016 · External reference
Analytic continuation of the appell function F 1 and integration of the associated system of equations in the logarithmic case
10.1134/s0965542517040042 · 2017 · External reference
Analytic continuation of the Lauricella function fd(n) with arbitrary number of variables
10.1080/10652469.2017.1402017 · 2018 · External reference
Analytic continuation of lauricella’s functions fa(n),fb(n) and fd(n)
10.1080/10652469.2020.1762081 · 2020 · External reference
The lauricella hypergeometric function fd(n), the Riemann-Hilbert problem, and some applications
10.1070/rm9841 · 2018 · External reference
HYPERDIRE, HYPERgeometric Functions DIfferential REduction: MATHEMATICA-based packages for differential reduction of generalized hypergeometric functions pFp−1, F1, F2, F3, F4
10.1016/j.cpc.2013.05.009 · 2013 · External reference
HYPERDIRE HYPERgeometric Functions Differential REduction: mathematica-based packages for the differential reduction of generalized hypergeometric functions: horn-type hypergeometric functions of two variables
10.1016/j.cpc.2014.11.022 · 2015 · External reference
HYPERgeometric Functions Differential Reduction (HYPERDIRE): Mathematica based packages for differential reduction of generalized hypergeometric functions: FD and FS horn-type hypergeometric functions of three variables
10.1016/j.cpc.2014.07.014 · 2014 · External reference
HYPERDIRE—HYPERgeometric Functions DIfferential REduction: mathematica-based packages for the differential reduction of generalized hypergeometric functions: lauricella function Fc of three variables
10.1016/j.cpc.2016.04.016 · 2016 · External reference
Gröbner deformations of hypergeometric differential equations
2000 · External reference
Differential equations method: new technique for massive Feynman diagrams calculation
10.1016/0370-2693(91)90413-k · 1991 · External reference
New method of massive Feynman diagrams calculation
10.1142/s0217732391000695 · 1991 · External reference
Differential equations method: the calculation of vertex type Feynman diagrams
10.1016/0370-2693(91)90834-d · 1991 · External reference
Differential equation method: the calculation of N point Feynman diagrams
10.1016/0370-2693(91)90536-y · 1991 · External reference
Differential equations for Feynman graph amplitudes
10.1007/bf03185566 · 1997 · External reference
Multiloop integrals in dimensional regularization made simple
10.1103/physrevlett.110.251601 · 2013 · External reference
Reducing differential equations for multiloop master integrals
10.1007/jhep04(2015)108 · 2015 · External reference
A theorem on analytical calculability of four loop renormalization group functions
10.1016/0370-2693(81)90288-4 · 1981 · External reference
Integration by parts: the algorithm to calculate beta functions in 4 loops
10.1016/0550-3213(81)90199-1 · 1981 · External reference
High-precision numerical evaluation of Lauricella functions
10.1016/j.nuclphysb.2025.116994 · 2025 · External reference
PrecisionLauricella: package for numerical computation of Lauricella functions depending on a parameter
10.1016/j.cpc.2025.109812 · 2025 · External reference
High-precision calculation of multiloop Feynman integrals by difference equations
10.1142/s0217751x00002159 · 2000 · External reference
Theory of Hypergeometric Functions
10.1007/978-4-431-53938-4 · 2011 · External reference
Kira—A Feynman integral reduction program
10.1016/j.cpc.2018.04.012 · 2018 · External reference
Unresolved reference
External reference
10.1016/j.cpc.2025.109999
10.1016/j.cpc.2025.109999 · External reference
Automatic integral reduction for higher order perturbative calculations
10.1088/1126-6708/2004/07/046 · 2004 · External reference
Blade: a package for block-triangular form improved Feynman integrals decomposition
10.1016/j.cpc.2025.109538 · 2025 · External reference
Algorithm FIRE – Feynman integral REduction
10.1088/1126-6708/2008/10/107 · 2008 · External reference
FIRE4, LiteRed and accompanying tools to solve integration by parts relations
10.1016/j.cpc.2013.06.016 · 2013 · External reference
FIRE5: a C++ implementation of Feynman integral REduction
10.1016/j.cpc.2014.11.024 · 2015 · External reference
Reduze – Feynman integral reduction in C++
10.1016/j.cpc.2010.03.012 · 2010 · External reference
Unresolved reference
External reference
D-module techniques for solving differential equations in the context of Feynman integrals
10.1007/s11005-024-01835-7 · 2024 · External reference
Macaulay matrix for Feynman integrals: linear relations and intersection numbers
10.1007/jhep09(2022)187 · 2022 · External reference
Unresolved reference
External reference
Unresolved reference
External reference
Unresolved reference
External reference
The complexity of the word problems for commutative semigroups and polynomial ideals
10.1016/0001-8708(82)90048-2 · 1982 · External reference
The structure of polynomial ideals and Gröbner bases
10.1137/0219053 · 1990 · External reference
Dimension-dependent bounds for Gröbner bases of polynomial ideals
10.1016/j.jsc.2011.12.018 · 2013 · External reference
General theory of hypergeometric functions
1986 · External reference
Hypergeometric functions and toric varieties
10.1007/bf01078777 · 1989 · External reference
Generalized Euler integrals and A-hypergeometric functions
10.1016/0001-8708(90)90048-r · 1990 · External reference
General hypergeometric systems of equations and series of hypergeometric type
10.1070/rm1992v047n04abeh000915 · 1992 · External reference
Unresolved reference
1994 · External reference
Feynman integrals as A-hypergeometric functions
10.1007/jhep12(2019)123 · 2019 · External reference
Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems
10.1007/jhep04(2020)121 · 2020 · External reference
FeynGKZ: a mathematica package for solving Feynman integrals using GKZ hypergeometric systems
10.1016/j.cpc.2023.108699 · 2023 · External reference
On the computation of finite bottom-quark mass effects in Higgs boson production
10.1007/jhep08(2016)055 · 2016 · External reference
Two-loop gg → Hg amplitude mediated by a nearly massless quark
10.1007/jhep11(2016)104 · 2016 · External reference
Three-loop massive tadpoles and polylogarithms through weight six
10.1007/jhep08(2017)024 · 2017 · External reference
Solving differential equations for Feynman integrals by expansions near singular points
10.1007/jhep03(2018)008 · 2018 · External reference
Evaluating ‘elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points
10.1007/jhep07(2018)102 · 2018 · External reference
Two-loop diagrams in non-relativistic QCD with elliptics
2019 · External reference
Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
2020 · External reference
Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
10.1007/jhep01(2020)132 · 2020 · External reference
The complete set of two-loop master integrals for Higgs + jet production in QCD
10.1007/jhep06(2020)093 · 2020 · External reference
DiffExp, a mathematica package for computing Feynman integrals in terms of one-dimensional series expansions
10.1016/j.cpc.2021.108125 · 2021 · External reference
10.1007/jhep09(2022)156
10.1007/jhep09(2022)156 · External reference
Evaluation of Feynman integrals with arbitrary complex masses via series expansions
10.1016/j.cpc.2022.108545 · 2023 · External reference
AMFlow: A mathematica package for Feynman integrals computation via auxiliary mass flow
10.1016/j.cpc.2022.108565 · 2023 · External reference
Numerical evaluation of multiple polylogarithms
10.1016/j.cpc.2004.12.009 · 2005 · External reference
HandyG —rapid numerical evaluation of generalised polylogarithms in fortran
10.1016/j.cpc.2020.107165 · 2020 · External reference
Closed expressions for specific massive multiloop selfenergy integrals
10.1007/bf01411014 · 1994 · External reference
New series representations for the two-loop massive sunset diagram
10.1140/epjc/s10052-020-8131-3 · 2020 · External reference
Multiple Gaussian hypergeometric series
1985 · External reference
Unresolved reference
External reference
Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions
10.1016/j.physletb.2012.06.045 · 2012 · External reference
Differential equations, recurrence relations, and quadratic constraints for L-loop two-point massive tadpoles and propagators
10.1007/jhep08(2019)027 · 2019 · External reference
Closed-form expression for cross-channel conformal blocks near the lightcone
2020 · External reference
Wave functions for the Schwarzschild black hole interior
10.1103/physrevd.73.104009 · 2006 · External reference
On the fluctuating Beckmann shadowed composite fading model and its applications to wireless communications
10.1109/tvt.2023.3275920 · 2023 · External reference
The multi-cluster fluctuating two-ray fading model
10.1109/twc.2023.3315732 · 2023 · External reference
Explicit formulas for the scalar modes in Seiberg-Witten theory with an application to the Argyres-Douglas point
10.1088/1126-6708/2005/02/057 · 2005 · External reference
The order of a singularity in Fuchs’ theory
10.1007/bf01162962 · 1959 · External reference
A rational version of Moser’s algorithm
1995 · External reference
An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system
10.1007/s002000050048 · 1997 · External reference
Unresolved reference
2018 · External reference
Transformations of certain hypergeometric functions of three variables
10.1007/bf02392525 · 1955 · External reference
