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Titlebook: Computer Algebra in Quantum Field Theory; Integration, Summati Carsten Schneider,Johannes Blümlein Book 2013 Springer-Verlag Wien 2013 Diff

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L. A. Biryukova,V. B. Kudryavtsevblems are rephrased in terms of difference fields, how the problems are solved there, and how the derived results in the given difference field can be reinterpreted as solutions of the input problem. The algorithms are illustrated with the Mathematica package . by discovering and proving new harmoni
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On the Control of Cardiac Rhythm evaluation of Feynman integrals. The most prominent class of functions is given by multiple polylogarithms. The algebraic properties of multiple polylogarithms are reviewed in the second part of these lectures. The final part of these lectures is devoted to Feynman integrals, which cannot be expres
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Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order,ons. These identities appear in the famous Handbook of Mathematical Functions, as well as in its successor, the DLMF, but their proofs were lost. We use generating functions and symbolic summation techniques to produce new proofs for them.
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