Elementary functions: algorithms and implementation
Elementary functions: algorithms and implementation
NIST Digital Library of Mathematical Functions
Annals of Mathematics and Artificial Intelligence
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Efficient and Reliable Multiprecision Implementation of Elementary and Special Functions
SIAM Journal on Scientific Computing
Handbook of Continued Fractions for Special Functions
Handbook of Continued Fractions for Special Functions
Validated Evaluation of Special Mathematical Functions
Proceedings of the 9th AISC international conference, the 15th Calculemas symposium, and the 7th international MKM conference on Intelligent Computer Mathematics
Algorithm 895: A continued fractions package for special functions
ACM Transactions on Mathematical Software (TOMS)
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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.