Algorithm 895: A continued fractions package for special functions

Authors:
Franky Backeljauw;Annie Cuyt
Affiliations:
University of Antwerp, Antwerp, Belgium;University of Antwerp, Antwerp, Belgium
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2009

Citing 4
Cited 1

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Abstract

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.