Paper Info
Title
Continued Fractions for Special Functions: Handbook and Software
Abstract
The revived interest in continued fractions stems from the fact that many special functions enjoy easy to handle and rapidly converging continued fraction representations. These can be made to good use in a project that envisages the provably correct (or interval) evaluation of these functions. Of course, first a catalogue of these continued fraction representations needs to be put together. The Handbook of continued fractions for special functions is the result of a systematic study of series and continued fraction representations for several families of mathematical functions used in science and engineering. Only 10% of the listed continued fraction representations can also be found in the famous NBS Handbook edited by Abramowitz and Stegun. More information is given in Sect. 1. The new handbook is brought to life at the website www.cfhblive.ua.ac.be where visitors can recreate tables to their own specifications, and can explore the numerical behaviour of the series and continued fraction representations. An easy web interface supporting these features is discussed in the Sects. 2, 3 and 4.
Year
DOI
Venue
2008
10.1007/978-3-642-01591-5_3
Numerical Validation in Current Hardware Architectures
Keywords
DocType
Volume
continued fraction,easy web interface,continued fraction representation,new handbook,famous nbs handbook,numerical behaviour,listed continued fraction representation,good use,continued fractions,special function,mathematical function,special functions,web interface
Conference
5492
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
5
6
Name
Order
Citations
PageRank
Annie Cuyt116141.48
Franky Backeljauw241.93
Stefan Becuwe3144.28
Michel Colman420.76
Tom Docx500.34
Joris Van Deun67010.51