| Title:
|
Metric properties of Engel series expansions of Laurent series (English) |
| Author:
|
Grabner, Peter J. |
| Author:
|
Knopfmacher, Arnold |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
233-243 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K55 |
| MSC:
|
11T06 |
| idZBL:
|
Zbl 0939.11029 |
| idMR:
|
MR1647686 |
| . |
| Date available:
|
2009-09-25T11:30:04Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136725 |
| . |
| Reference:
|
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| Reference:
|
[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 0102496 |
| Reference:
|
[3] FELLER W.: An Introduction to Probability Theory and its Applications, Vol. 1.(3rd ed.), J. Wiley, New York, 1968. MR 0228020 |
| Reference:
|
[4] FELLER W.: An Introduction to Probability Theory and its Applications, Vol. 2.J. Wiley, New York, 1966. MR 0210154 |
| Reference:
|
[5] GALAMBOS J.: Representations of Real Numbers by Infinite Series.Springer-Verlag, Berlin-Heidelberg-New York, 1976. Zbl 0322.10002, MR 0568141 |
| Reference:
|
[6] JONES W. B.-THRON W. J.: Continued Fractions.Addison-Wesley, London-Amsterdam-Don Mills-Sydney-Tokyo, 1980. Zbl 0603.30009, MR 0595864 |
| Reference:
|
[7] KHINTCHINE A. Y.: Metrische Kettenbruchprobleme.Compositio Math. 1 (1935), 361-382. Zbl 0010.34101, MR 1556899 |
| Reference:
|
[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 0956174 |
| Reference:
|
[9] KNOPFMACHER A.-KNOPFMACHER J.: Metric properties of algorithms inducing Lüroth series expansions of Laurent series.Asterisque 209 (1992), 237-246. Zbl 0788.11031, MR 1211017 |
| Reference:
|
[10] KNOPFMACHER J.: Ergodic properties of some inverse polynomial series expansions of Laurent series.Acta Math. Hungar. 60 (1992), 241-246. Zbl 0774.11073, MR 1177678 |
| Reference:
|
[11] MAGNUS A.: Certain continued fractions associated with the Padé table.Math. Z. 78 (1962), 361-374. Zbl 0104.05102, MR 0150271 |
| Reference:
|
[12] MAGNUS A.: p-fractions and the Pade table.Rocky Mountain J. Math. 4 (1974), 257-259. Zbl 0293.41016, MR 0342915 |
| Reference:
|
[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 0285481 |
| Reference:
|
[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 0311582 |
| Reference:
|
[15] PERRON O.: Irrationalzahlen.W. de Gruyter, Berlin, 1939. Zbl 0022.12306, MR 0115985 |
| Reference:
|
[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 0150123 |
| . |
