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Original Articles

On the growth rate of composite meromorphic functions

Pages 187-196 | Received 02 Nov 1988, Published online: 29 May 2007

References

  • Bergweiler , W. Untersuchungen des Wachstums zusammengesetzter Funktionen , Aachen : RWTH . Thesis
  • Bergweiler , W. 1988 . On the Nevanlinna characteristic of a composite function . Complex Variables Theory Appl , 10 : 225 – 236 .
  • Bergweiler , W. , Jank , G. and Volkmann , L. 1984 . Wachstumsverhalten zusammengesetzter Funktionen . Resultutc Math , 7 : 35 – 53 .
  • Chuang , C.T. 1951 . Sur la comparaison de la croissance d'une fonction méromorphe et de celle de sa dérivée . Bull. Sci. Math , 75 ( 2 ) : 171 – 190 .
  • Cluine , J. “ The composition of entire and meromorphic functions ” . In Mathematical Essays Dedicated to A J. Macintyre 75 – 92 .
  • Edrei , A. 1964 . The deficiencies of meromorphic functions of finite lower order . Duke Math. J. , 31 : 1 – 21 .
  • Gross , F. and Yang , C.C. 1972 . Some results on the growth rate of meromorphic functions . Arch. Math. , 23 : 278 – 284 .
  • Hayman , W.K. Meromorphic Functions
  • Jank , G. 1986 . Zhl. f. Math review of [19] 573.30024
  • Jank , G. and Volkmann , L. Einführng in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen
  • Miles , J. and Shea. , D.F. 1976 . On the growth of meromorphic functions having at least one deficient value . Duke Math. J. , 43 : 171 – 186 .
  • Mori , S. 1970 . Order of composite function of integral functions . Tohoku Math. J. , 22 : 462 – 479 .
  • Muto , H. and Niino , K. 1975 . A remark on analytic mappings between two uitrahyperelliptic surfaces . Kodai Math. Sem. Rep , 26 : 103 – 107 .
  • Niino , K. 1982 . On analytic mappings and factorizing meromorphic functions . Factorization Theory of Meromorphic Functions and Related Topics , 26 : 71 – 82 .
  • Niino , K. and Yang , C.C. “ Some growth relationships on factors of two composite entire functions ” . In Factorization Theory of Meromorphic Functions and Related Topics 95 – 99 .
  • Ozawa , M. 1965 . On complex analytic mappings . Kodai Math. Sem. Rep. , 17 : 93 – 102 .
  • Pólya , G. 1926 . On an integral function of an integral function . J. London Math. , 1 : 12 – 15 .
  • Schönhage , A. 1960 . Über das Wachstum zusammengesetzter Funktionen. . Math 7 73 , 1 : 22 – 44 .
  • Singh , A.P. 1986 . Growth of composite entire functions . Kodai Math. J. , 8 : 99 – 102 .

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