Metric properties of Engel series expansions of Laurent series
Mathematica slovaca, Tome 48 (1998) no. 3, pp. 233-243
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     year = {1998},
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     url = {http://geodesic.mathdoc.fr/item/MASLO_1998_48_3_a2/}
}
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Grabner, Peter J.; Knopfmacher, Arnold. Metric properties of Engel series expansions of Laurent series. Mathematica slovaca, Tome 48 (1998) no. 3, pp. 233-243. http://geodesic.mathdoc.fr/item/MASLO_1998_48_3_a2/

[1] ARTIN E.: Quadratische Korper in Gebiete der hoheren Kongruenzen, I-II. Math. Z. 19 (1924), 153-246. | MR

[2] ERDOS P.-RÉNYI A.-SZUSZ P.: On Engel's and Sylvester's series. Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 1 (1958), 7-12. | MR

[3] FELLER W.: An Introduction to Probability Theory and its Applications, Vol. 1. (3rd ed.), J. Wiley, New York, 1968. | MR

[4] FELLER W.: An Introduction to Probability Theory and its Applications, Vol. 2. J. Wiley, New York, 1966. | MR

[5] GALAMBOS J.: Representations of Real Numbers by Infinite Series. Springer-Verlag, Berlin-Heidelberg-New York, 1976. | MR | Zbl

[6] JONES W. B.-THRON W. J.: Continued Fractions. Addison-Wesley, London-Amsterdam-Don Mills-Sydney-Tokyo, 1980. | MR | Zbl

[7] KHINTCHINE A. Y.: Metrische Kettenbruchprobleme. Compositio Math. 1 (1935), 361-382. | MR | Zbl

[8] KNOPFMACHER A.-KNOPFMACHER J.: Inverse polynomial expansions of Laurent series, I-II. Constr. Approx. 4 (1988), 379-389; J. Comput. Appl. Math. 28 (1989), 249-257. | MR

[9] KNOPFMACHER A.-KNOPFMACHER J.: Metric properties of algorithms inducing Lüroth series expansions of Laurent series. Asterisque 209 (1992), 237-246. | MR | Zbl

[10] KNOPFMACHER J.: Ergodic properties of some inverse polynomial series expansions of Laurent series. Acta Math. Hungar. 60 (1992), 241-246. | MR | Zbl

[11] MAGNUS A.: Certain continued fractions associated with the Padé table. Math. Z. 78 (1962), 361-374. | MR | Zbl

[12] MAGNUS A.: p-fractions and the Pade table. Rocky Mountain J. Math. 4 (1974), 257-259. | MR | Zbl

[13] PAYSANT-LEROUX R.-DUBOIS E.: Algorithme de Jacobi-Perron dans un corps de séries formelles. C. R. Acad. Sci. Paris Ser. A 272 (1971), 564-566. | MR

[14] PAYSANT-LEROUX R.-DUBOIS E.: Étude metrique de l'algorithme de Jacobi-Perron dan un corps dé series formelles. C. R. Acad. Sci. Paris Sér. A 275 (1972), 683-686. | MR

[15] PERRON O.: Irrationalzahlen. W. de Gruyter, Berlin, 1939. | MR | Zbl

[16] RENYI A.: A new approach to the theory of Engel's series. Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 5 (1962), 25-32. | MR