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Original Articles

Diophantive approximation to the value distribution theory of meromorphic functions

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Pages 143-154 | Received 15 Sep 1987, Published online: 29 May 2007

References

  • Chudnovsky , D.V. and Chudnovsky , G.V. 1983 . Rational approximations to solutions of linear differential equations . Proc. Nat. Acad. Sci U.S.A , 80 : 5158 – 5162 .
  • Gross , F. and Osgood , C.F. 1981 . On the functional equation f n +g n = h n and a new approach to a certain class fo more general functional equations . Indian J. Math , 23 ( 1 ) : 17 – 39 .
  • Gross , F. and Osgood , C.F. 1983 . On fixed points of entire functions . J. London Math. Soc , 3 ( 2 ) : 57 – 61 .
  • Gross , F. and Osgood , C.F. 1987 . A simpler proof of a theorem of Steinmetz . J. Math. Anal. Appl , 3 ( 2 ) to appear
  • Osgood , C.F. 1987 . Simplified proofs of generalizations of the n-small luneton thorem Edited by: Yang , C.C.
  • Osgood , C.F. 1973 . An effective lower bound on the diophantine approximation of algebraic functins by rational functions . Mathematica , 20 : 4 – 15 .
  • Osgood , C.F. 1977 . “ An effective lower bound on the diophantine approximation of algebraic functions by rational functions II ” . In Contributions to Algebra A Collection of Papers Dedicated to Ellis Kolchin , 321 – 327 . New York : Academic Press .
  • Osgood , C.F. 1981 . A number theoretic-differential equations approach to generalizing Nevanlinna theory . Indian J. Math , 23 ( 1 ) : 1 – 15 .
  • Osgood , C.F. 1982 . “ Extending Nevanlinna's ramification results ” . In Factorization Theory of Meromophic Functions , New York : Marcel Dekker .
  • Osgood , C.F. 1985 . Sometimes effective Thue-Siegel-Roth Schmidt-Nevanlinna bounds or better . J. Number Theor , 21 ( 3 ) : 347 – 389 .
  • Selberg , H.L. 1929 . Über eine Eigenschaft der logarithmischen Ableitung einer meromorpher oder algebroiden Funktion endicher Ordnung . Avbandlinger utgitt AV Det Norske Videnskaps-Akademic/Oslo 1 Matem. Naturv. Klasse , 14 ( 3 )
  • Selberg , H.L. 1934 . Algebroide Funktionen . Avbandlinger utgitt AV Det Norske Videnskaps-Akademic/Oslo 1 Matem. Nature. Klasse , 8 ( 3 )
  • Steinmetz , N. 1981 . Über die Nullstellen von Differentialpolynomen . Math. Z. , 176 ( 3 ) : 255 – 264 .
  • Steinmetz , N. 1986 . Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes . J. Reine Angew Math , 368 ( 3 ) : 134 – 141 .

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