Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions - Tapa blanda

Sinopsis

Harmonic sums, polylogarithms, special numbers, and their generalizations.- Multiple Zeta values and modular forms in quantum field theory.- Computer-assisted proofs of some identities for Bessel functions of fractional order.- Conformal methods for massless Feynman integrals and large Nf methods.- The holonomic toolkit.- Orthogonal polynomials.- Creative telescoping for holonomic functions.- Renormalization and Mellin transforms.- Relativistic Coulomb integrals and Zeilberger's holonomic systems approach.- Hypergeometric functions in Mathematica.- Solving linear recurrence equations with polynomial coefficients.- Generalization of Risch's algorithms to special functions.- Multiple hypergeometric series.- Appell series and beyond.- Simplifying multiple sums in difference fields.- Potential of FORM 4.0.- Feynman graphs.

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