D-Finite Functions

Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions with a special emphasis on computer algebra algorith...

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Bibliographic Details
Main Author: Kauers, Manuel (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edition:1st ed. 2023.
Series:Algorithms and Computation in Mathematics, 30
Subjects:
Online Access:https://doi.org/10.1007/978-3-031-34652-1
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Table of Contents:
  • Chapter. 1. Background and fundamental concepts
  • Chapter. 2. The recurrence case in one variable
  • Chapter. 3. The differential case in one variable
  • Chapter. 4. Operators
  • Chapter. 5. Summation and integration
  • Answers to Exercises
  • Software
  • Notations
  • References
  • Index.