D-Finite Functions

Author:   Manuel Kauers
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2023
Volume:   30
ISBN:  

9783031346514


Pages:   664
Publication Date:   09 November 2023
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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D-Finite Functions


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Full Product Details

Author:   Manuel Kauers
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2023
Volume:   30
Weight:   1.291kg
ISBN:  

9783031346514


ISBN 10:   3031346513
Pages:   664
Publication Date:   09 November 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter. 1. Background and fundamental conceptsChapter. 2. The recurrence case in one variableChapter. 3. The differential case in one variableChapter. 4. OperatorsChapter. 5. Summation and integrationAnswers to ExercisesSoftwareNotationsReferencesIndex

Reviews

“The book is written in a precise style with attention to detail. The provided algorithms are in symbolic code, but can be easily (relatively) translated to programs. The exercises are well designed and informative. The book is an excellent source of information and will work best for graduate-level math education, though it may also motivate researchers to apply the theory in their own fields.” (Alexander Tzanov, Computing Reviews, March 27, 2024)


Author Information

Manuel Kauers studied computer science in Karlsruhe, Germany, from 1998 to 2002 and then went to Linz, Austria, where he received his Ph.D. in symbolic computation in 2005. He won a START prize in 2009. Since 2015 he is director of the Institute for Algebra at Johannes Kepler University in Linz. Kauers is an active member of the computer algebra community and has been contributing to the design, implementation, and application of algorithms for D-finite functions for many years. Together with Christoph Koutschan and Doron Zeilberger, he proved two outstanding conjectures in enumerative combinatorics using such algorithms. For one of these results, the proof of the qTSPP-conjecture, they received the AMS David P. Robbins prize in 2016.

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