Pacific Journal of Mathematics

On the fix-points of composite functions.

Walter Bergweiler

Article information

Source
Pacific J. Math., Volume 143, Number 1 (1990), 1-8.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102646197

Mathematical Reviews number (MathSciNet)
MR1047396

Zentralblatt MATH identifier
0717.30024

Subjects
Primary: 30D05: Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX]

Citation

Bergweiler, Walter. On the fix-points of composite functions. Pacific J. Math. 143 (1990), no. 1, 1--8. https://projecteuclid.org/euclid.pjm/1102646197


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References

  • [1] W. Bergweiler, An inequality for realfunctions with applications to function theory, Bull. London Math. Soc, 21 (1989), 171-175.
  • [2] W. Bergweiler, G. Jank and L. Volkmann, Uberfaktorisierbare Lsungen Ric- catischer Differentialgleichungen,Resultate Math., 10 (1986), 40-53.
  • [3] J. Clunie, The Composition of Entire and Meromorphic Functions, Math. Es- says Dedicated to A. J. Macintyre (1970), 75-92, Ohio Univ. Press.
  • [4] F. Gross, Factorization of Meromorphic Functions, U.S. Government Printing Office, Washington, D.C., 1972.
  • [5] F. Gross and C. F. Osgood, On fixed points of composite entirefunctions, J. London Math. Soc, (2) 28 (1983), 57-61.
  • [6] F. Gross and C. C. Yang, The fix-points and factorization of meromorphic functions, Trans. Amer. Math. Soc, 168 (1972), 211-219.
  • [7] W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs (1964), Clarendon Press, Oxford.
  • [8] W. K. Hayman, The localgrowthof powerseries: A survey of the Wiman-Valiron method, Canad. Math. Bull., (3) 17 (1974), 317-358.
  • [9] P. C. Rosenbloom, The fix-points of Entire Functions, Medd. Lunds Univ. Mat. Sem. Suppl.-Bd. M. Riesz, (1952), 187-192.
  • [10] A. Schnhage, Uberdas Wachstum zusammengesetzter Funktionen, Math.Z., 73(1960), 22-44.
  • [11] N. Steinmetz, Uber die faktorisierbaren Lsungen gewhnlicher Dijferential- gleichungen, Math. Z., 170 (1980), 169-180.
  • [12] G. Valiron, Lectures on the General Theory of Integral Functions, Edouard Privat, Toulouse, 1923.
  • [13] C. C. Yang, Further results on the fix-points of composite transcendentalfunc- tions, J. Math. Anal. Appl., 90 (1982), 259-269.
  • [14] C. C. Yang, On the fix-points of composite transcendental entirefunctions, J. Math. Anal. Appl., 108 (1985), 366-370.