Computable Real Arithmetic Using Linear Fractional Transformations (1996)
by
Peter John Potts
| Citations: | 9 - 2 self |
BibTeX
@MISC{Potts96computablereal,
author = {Peter John Potts},
title = {Computable Real Arithmetic Using Linear Fractional Transformations},
year = {1996}
}
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Abstract
This report describes my progress to date and plans for the future in the search for a feasible representation of computable real numbers in terms of linear fractional transformations and a set of algorithms for the elementary functions: rational, power, trigonometric, inverse trigonometric, exponential and logarithmic, hyperbolic and inverse hyperbolic. Contents 1
Citations
| 254 | Confluent hypergeometric functions - Slater - 1960 |
| 136 | Essentials of Padé Approximants - Baker - 1975 |
| 132 | Analytic Theory of Continued Fractions - Wall - 1948 |
| 19 | Continued Fraction Arithmetic - Gosper - 1972 |
| 17 | Sur la représentation approchée d’une fonction par des fractions rationnelles - Padé |
| 9 | Hypergeometric & Legendre Functions with Applications to - Snow - 1952 |
| 3 | Über Relationen zwischen den Näherungsbrüchen von Potenzreihen - Frobenius - 1968 |
| 3 | Die Lehre von den Kettenbrüchen, volume II. Wissenschaftliche Buchgesellschaft - Perron - 1977 |
| 2 | Commentatio in fractionem continuam qua illustris La Grange potestates binomiales expressit - Euler |
| 2 | An Essay on Continued Fractions - Euler - 1985 |
| 1 | Uber die hypergeometrische Reihe F (ff; fi; x - Kummer |
| 1 | Ueber die Kettenbruch fur tg x - Schlomilch |
| 1 | Ueber ein Convergenz-Kriterium fur die Kettenbruche mit positiven Gliedern - Pringsheim |
