The Concrete Tetrahedron Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates /

• Main Authors: Kauers, Manuel (Author), Paule, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2011.
• Series: Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University Linz, Austria,
• Subjects: Mathematics.; Algebra.; Number theory.; Discrete mathematics.; Combinatorics.; Discrete Mathematics.; Number Theory.

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or...

Table of Contents:

• 1 Introduction
• 2 Formal Power Series
• 3 Polynomials
• 4 C-Finite Sequences
• 5 Hypergeometric Series
• 6 Algebraic Functions
• 7 Holonomic Sequences and Power Series
• Appendix
• References
• Index.