SOME PROBLEMS IN THE ANALYTIC THEORY OF FEYNMAN INTEGRALS

DOI10.1070/RM1976v031n02ABEH001487zbMath0342.28005OpenAlexW2039316403MaRDI QIDQ4109871

Valentina Golubeva

Publication date: 1976

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1976v031n02abeh001487

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Miscellaneous applications of functional analysis (46N99)

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Construction of a linear Pfaff system of Fuchsian type with algebraic manifold of singularities ⋮ Algorithms for minimal Picard-Fuchs operators of Feynman integrals ⋮ Differential equations with meromorphic coefficients ⋮ On the Regge-Gelfand problem of construction of a Pfaff system of Fuchsian type with a given singular divisor ⋮ Feynman integrals as A-hypergeometric functions ⋮ Functional reduction of one-loop Feynman integrals with arbitrary masses ⋮ Hypergeometric Functions and Feynman Diagrams ⋮ Differential Equations and Feynman Integrals

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