Rational approximation of some irrational functions through a flexible continued fraction expansion

Dutta Roy, S. C. (1982) Rational approximation of some irrational functions through a flexible continued fraction expansion Proceedings of the IEEE, 70 (1). pp. 84-85. ISSN 0018-9219

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Official URL: http://ieeexplore.ieee.org/iel5/5/31309/01456501.p...

Related URL: http://dx.doi.org/10.1109/PROC.1982.12233

Abstract

A simple method is given for the continued fraction expansion (CFE) of the irrational functions (s2+ 1)½, (s + 1)½, and s½ with adjustable parameters. Explicit formulas are derived for the coefficients of the rational function obtained by truncating such a CFE. The flexibility offered by the adjustable parameters is illustrated by an example.

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