Algorithm 895: a continued fractions package for special functions

The continued fractions for special functions package (in the sequel abbreviated as CFSF package) complements a systematic study of continued fraction representations for special functions. It provides all the functionality to create continued fractions, in particular k-periodic or limit k-periodic fractions, to compute approximants, make use of continued fraction tails, perform equivalence transformations and contractions, and much more. The package, developed in Maple, includes a library of more than 200 representations of special functions, of which only 10% can be found in the 1964 NBS Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables by M. Abramowitz and I. Stegun. Categories and Subject Descriptors: G.1.2 [Numerical Analysis]: Approximation--Special function approximations General Terms: Algorithms, Documentation Additional Key Words and Phrases: CAS software, continued fractions, Maple, special functions DOI = 10.1145/1527286.1527289