Algorithm 895-Reference-Cited by-同舟云学术

Algorithm 895

Published:2009-07 Issue:3 Volume:36 Page:1-20
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Backeljauw Franky¹,Cuyt Annie¹

Affiliation:

1. University of Antwerp, Antwerp, Belgium

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/1527286.1527289

Reference9 articles.

1. Abramowitz M. and Stegun I. 1964. Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. U.S. Government Printing Office NBS Washington DC. Abramowitz M. and Stegun I. 1964. Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. U.S. Government Printing Office NBS Washington DC.

2. Cuyt A. Brevik Petersen V. Verdonk B. Waadeland H. and Jones W. 2008. Handbook of Continued Fractions for Special Functions. Springer Verlag Berlin Germany. Cuyt A. Brevik Petersen V. Verdonk B. Waadeland H. and Jones W. 2008. Handbook of Continued Fractions for Special Functions. Springer Verlag Berlin Germany.

3. Efficient and Reliable Multiprecision Implementation of Elementary and Special Functions

4. Erdélyi A. Magnus W. Oberhettinger F. and Tricomi F. 1953a. Higher Transcendental Functions. Vol. 1. McGraw-Hill New York. Erdélyi A. Magnus W. Oberhettinger F. and Tricomi F. 1953a. Higher Transcendental Functions. Vol. 1. McGraw-Hill New York.

5. Erdélyi A. Magnus W. Oberhettinger F. and Tricomi F. 1953b. Higher Transcendental Functions. Vol. 2. McGraw-Hill New York. Erdélyi A. Magnus W. Oberhettinger F. and Tricomi F. 1953b. Higher Transcendental Functions. Vol. 2. McGraw-Hill New York.

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