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Published in:
The Gamma Function Read chapter Read first chapter

2014 | OriginalPaper | Chapter

12. Holonomic Equations for Integrals

Author : Wolfram Koepf

Published in: Hypergeometric Summation

Publisher: Springer London

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Abstract

Now we are ready to consider definite integration of hyperexponential terms. If the corresponding indefinite integral is a hyperexponential term again, then the continuous Gosper algorithm applies, and definite integration is trivial.

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previous chapter Hyperexponential Antiderivatives
next chapter Rodrigues Formulas and Generating Functions
Footnotes
1
Unfortunately, one cannot use a function name like I(z) since I is Maple’s complex unit.
 
2
Singular’s [GLMS10] FirstWeyl command of the ncfactor library can also find this factorization.
 
3
Similarly the two differential operators given in (12.8) can be treated.
 
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Metadata
Title
Holonomic Equations for Integrals
Author
Wolfram Koepf
Copyright Year
2014
Publisher
Springer London
Book
Hypergeometric Summation

Print ISBN: 978-1-4471-6463-0

Electronic ISBN: 978-1-4471-6464-7

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-1-4471-6464-7_12

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