AbstractThis is an outline of the Aomoto–Gelfand theory of multivariable hypergeometric integrals and Varchenko's formula for the determinant of the period matrix of the hypergeometric pairing. A significant feature of this work is the use of the theory of arrangements of hyperplanes to transform a problem in analysis into one in combinatorics
We present recent computer algebra methods that support the calculations of (multivariate) series so...
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of...
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arran...
We fix three natural numbers k, n,N, such that n + k + 1 = N, and introduce the notion of two dual a...
This book presents a geometric theory of complex analytic integrals representing hypergeometric func...
We construct imaginary cycles for hypergeometric integrals associ-ated with a hypersphere arrangemen...
Abstract We fix three natural numbers k, n, N, such that n+k+1 = N, and introduce the notion of two ...
General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hyper...
This thesis is devoted to the theory of the invariants of hypermatrices. The origin of the theory of...
textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a co...
We calculate the period integrals for a special class of affine hypersurfaces (deformed Delsarte hyp...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems...
This is an announcement of a result on connection formula of GKZ hypergeometric functions between “n...
AbstractGiven a hyperplane arrangement A of Rn whose defining equations have integer coefficients, t...
We present recent computer algebra methods that support the calculations of (multivariate) series so...
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of...
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arran...
We fix three natural numbers k, n,N, such that n + k + 1 = N, and introduce the notion of two dual a...
This book presents a geometric theory of complex analytic integrals representing hypergeometric func...
We construct imaginary cycles for hypergeometric integrals associ-ated with a hypersphere arrangemen...
Abstract We fix three natural numbers k, n, N, such that n+k+1 = N, and introduce the notion of two ...
General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hyper...
This thesis is devoted to the theory of the invariants of hypermatrices. The origin of the theory of...
textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a co...
We calculate the period integrals for a special class of affine hypersurfaces (deformed Delsarte hyp...
This paper obtains several evaluations of multivariate hypergeometric functions for particular param...
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems...
This is an announcement of a result on connection formula of GKZ hypergeometric functions between “n...
AbstractGiven a hyperplane arrangement A of Rn whose defining equations have integer coefficients, t...
We present recent computer algebra methods that support the calculations of (multivariate) series so...
It is well known that Feynman integrals in dimensional regularization often evaluate to functions of...
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arran...
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