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Wiman-Valiron Theory in Simply Connected Domains

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Abstract

We obtain asymptotic expressions for the derivatives of analytic functions in simply connected domains.

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References

  1. W. Bergweiler, P. J. Rippon and G. M. Stallard, Dynamics of meromorphic functions with direct or logarithmic singularities, Proc. Lond. Math. Soc. 97 (2008), 368–400.

    Article  MathSciNet  Google Scholar 

  2. A. Dinghas, Verzerrungsschranken bei schlichten Abbildungen des Einheitskreises, Arch. Math. 8 (1958), 413–416.

    Article  MathSciNet  Google Scholar 

  3. P. C. Fenton and J. Rossi, ODEs and Wiman-Valiron theory in the unit disc, J. Math. Anal. and Appl. 367 (2010), 137–145.

    Article  MathSciNet  Google Scholar 

  4. W. K. Hayman, Multivalent Functions, Cambridge University Press, 1958.

  5. W. K. Hayman, The local growth of power series: a survey of the Wiman-Valiron method, Canad. Math. Bull. 17 (1974), 317–358.

    Article  MathSciNet  Google Scholar 

  6. O. P. Juneja and G. P. Kapoor, Analytic Functions — Growth Aspects, Pitman, 1985.

  7. R. Nevanlinna, Analytic Functions, (trans. by Philip Emig) 2nd ed., Springer-Verlag, 1970.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Otago, Box 56, Dunedin, New Zealand

    Peter C. Fenton

  2. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA

    John Rossi

Authors
  1. Peter C. Fenton
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  2. John Rossi
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Correspondence to Peter C. Fenton.

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Fenton, P.C., Rossi, J. Wiman-Valiron Theory in Simply Connected Domains. Comput. Methods Funct. Theory 11, 229–235 (2011). https://doi.org/10.1007/BF03321799

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  • DOI: https://doi.org/10.1007/BF03321799

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