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Computer Algebra in Quantum Field Theory

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Cover of 'Computer Algebra in Quantum Field Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations
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    Chapter 2 Multiple Zeta Values and Modular Forms in Quantum Field Theory
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    Chapter 3 Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order
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    Chapter 4 Conformal Methods for Massless Feynman Integrals and Large N f Methods
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    Chapter 5 The Holonomic Toolkit
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    Chapter 7 Creative Telescoping for Holonomic Functions
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    Chapter 8 Renormalization and Mellin Transforms
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    Chapter 9 Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I
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    Chapter 10 Hypergeometric Functions in Mathematica ®
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    Chapter 11 Solving Linear Recurrence Equations with Polynomial Coefficients
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    Chapter 12 Generalization of Risch’s Algorithm to Special Functions
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    Chapter 13 Multiple Hypergeometric Series: Appell Series and Beyond
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    Chapter 14 Simplifying Multiple Sums in Difference Fields
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    Chapter 15 Potential of FORM 4.0
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    Chapter 16 Feynman Graphs
Attention for Chapter 5: The Holonomic Toolkit
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