BibTeX
@INCOLLECTION{
Charpentier2008EHO,
title = "Efficient HigherOrder Derivatives of the Hypergeometric Function",
doi = "10.1007/9783540689423_12",
author = "Isabelle Charpentier and Claude Dal Cappello and Jean Utke",
abstract = "Various physics applications involve the computation of the standard hypergeometric
function 2F1 and its derivatives. Because it is not an intrinsic in the common programming
languages, automatic differentiation tools will either differentiate through the code that computes
2F1 if that code is available or require the user to provide a handwritten derivative code. We
present options for the derivative computation in the context of an ionization problem and compare
the approach implemented in the Diamant library to standard methods.",
crossref = "Bischof2008AiA",
pages = "127137",
booktitle = "Advances in Automatic Differentiation",
publisher = "Springer",
editor = "Christian H. Bischof and H. Martin B{\"u}cker and Paul D. Hovland and Uwe
Naumann and J. Utke",
isbn = "9783540689355",
issn = "14397358",
year = "2008",
ad_tools = "Diamant, Rapsodia",
ad_theotech = "Higher Order, Taylor Arithmetic"
}
