Inverse polynomial expansions of Laurent series

Springer Science and Business Media LLC - Tập 4 Số 1 - Trang 379-389 - 1988
Arnold Knopfmacher1, John Knopfmacher1
1Department of Mathematics, University of the Witwatersrand, Johannesburg, Wits, Republic of South Africa

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Tài liệu tham khảo

L. E. Baum, M. M. Sweet (1976):Continued fractions of algebraic power series in characteristic 2. Ann. of Math.,10:593–610.

W. B. Jones, W. J. Thron (1979):Sequences of meromorphic functions corresponding to a formal Laurent series. S1AM J. Math. Anal.,10:1–17.

W. B. Jones, W. J. Thron (1980): Continued Fractions. Reading, MA: Addison-Wesley.

W. Leighton, W. T. Scott (1939):A general continued fraction expansion. Bull. Amer. Math. Soc.,45:596–605.

A. Magnus (1962):Certain continued fractions associated with the Padé table. Math. Z.,78:361–374.

A. Magnus (1974):P-fractions and the Padé table. Rocky Mountain J. Math.,4:257–259.

W. H. Mills, D. P. Robbins (1986):Continued fractions for certain algebraic power series. J. Number Theory,23:388–404.

A. Oppenheim (1972):The representation of real numbers by infinite series of rationals. Acta Arith.,21:391–398.

O. Perron (1951): Irrationalzahlen. New York: Chelsea.

A. Rényi (1962):A new approach to the theory of Engel's series. Ann. Univ. Sci. Budapest, Eötvös Sect. Math.,5:25–32.

V. G. Sprindžuk (1969): Mahler's Problem in Metric Number Theory. Translations of Mathematical Monographs, vol. 25. Providence, RI: American Mathematical Society.

O. Zariski, P. Samuel (1976): Commutative Algebra, vol. 2. New York: Springer-Verlag.