Book Review: Asymptotics and Mellin-Barnes integrals
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چکیده
منابع مشابه
Asymptotics and Mellin-Barnes Integrals
A catalogue record for this book is available from the British Library.
متن کاملAutomatized analytic continuation of Mellin-Barnes integrals
I describe a package written in MATHEMATICA that automatizes typical operations performed during evaluation of Feynman graphs with Mellin-Barnes (MB) techniques. The main procedure allows to analytically continue a MB integral in a given parameter without any intervention from the user and thus to resolve the singularity structure in this parameter. The package can also perform numerical integr...
متن کاملEvaluating multiloop Feynman integrals by Mellin-Barnes representation
When calculating physical quantities that describe a given process one needs to evaluate a lot of Feynman integrals. After a tensor reduction based on some projectors (see, e.g., [1]) a given Feynman graph generates various scalar Feynman integrals that have the same structure of the integrand with various distributions of powers of propagators. A straightforward analytical strategy is to evalu...
متن کاملOn the Resolution of Singularities of Multiple Mellin–Barnes Integrals
One of the two existing strategies of resolving singularities of multifold Mellin–Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regularization, is formulated in a modified form. The corresponding algorithm is implemented as a Mathematica code MBresolve.m E-mail: [email protected] E-mail: [email protected]
متن کاملSalvatore Pincherle the pioneer of the Mellin-Barnes integrals
Salvatore Pincherle the pioneer of the Mellin-Barnes integrals Francesco MAINARDI, Gianni PAGNINI (1) Department of Physics, University of Bologna, and INFN, Via Irnerio 46, I-40126 Bologna, Italy Corresponding Author; E-mail: [email protected] ENEA: Italian Agency for New Technologies, Energy and the Environment Via Martiri di Monte Sole 4, I-40129 Bologna, Italy E-mail: gianni.pagni...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2002
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-02-01500-4