"The Holonomic Toolbox"
: Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions, Springer, 2013
The Holonomic Toolbox
Sprache des Titels:
Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions
This is an overview over standard techniques for holonomic functions, written for readers who are new to the subject. We state the definition for holonomy in a couple of different ways, including some concrete special cases as well as a more abstract and more general version. We give a collection of standard examples and state several fundamental properties of holonomic objects. Two techniques which are most useful in applications are explained in some more detail: closure properties, which can be used to prove identities among holonomic functions, and guessing, which can be used to generate plausible conjectures for equations satisfied by a given function.