Branch Points, M Fractions and Rational Approximants Generated by Linear Equations
- 1 March 1977
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 19 (2) , 169-185
- https://doi.org/10.1093/imamat/19.2.169
Abstract
Rational approximants with error terms are obtained from continued fractions generated by linear equations. A simple method for obtaining the branch points of a function with a quasi-periodic continued fraction is illustrated. Continued are derived which match the derivatives of a function at two or more points in the complex plane. Rational functions that match derivatives and also take on particular values are presented.Keywords
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