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

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https://doi.org/10.1007/978-3-030-93482-8This paper is a short introduction to the generalized hypergeometric functions, with some theory, examples and notes on the implementation in the computer algebra system . .. (. is a registered trademark of Wolfram Research, Inc.)

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A Note on Deterministic Linear LanguagesI describe the main new features of . version 4.0. They include factorization, polynomial arithmetic, new special functions, systems independent. sav files, a complete ParForm, open source code and a forum for user communication. I also mention a completely new feature for code simplification.

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Orthogonal Polynomials,This chapter gives a short introduction to orthogonal polynomials, both the general theory and some special classes. It ends with some remarks about the usage of computer algebra for this theory.

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Hypergeometric Functions in ,, ,This paper is a short introduction to the generalized hypergeometric functions, with some theory, examples and notes on the implementation in the computer algebra system . .. (. is a registered trademark of Wolfram Research, Inc.)

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Multiple Hypergeometric Series: Appell Series and Beyond,This survey article provides a small collection of basic material on multiple hypergeometric series of Appell-type and of more general series of related type.

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Potential of FORM 4.0,I describe the main new features of . version 4.0. They include factorization, polynomial arithmetic, new special functions, systems independent. sav files, a complete ParForm, open source code and a forum for user communication. I also mention a completely new feature for code simplification.

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Carsten Schneider,Johannes BlümleinCombines techniques methods from special functions and computer algebra applied to quantum field theory.Contains survey articles written by mathematicians and physicists.Describes algorithms and techn

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