Weighted Yosida functions

R. Aulaskari*, S. Makhmutov, J. Rättyä

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We study meromorphic functions on the complex plane with given growth of the spherical derivative. We find a criterion of Lohwater-Pommerenke type for non-weighted Yosida functions, and apply this result to obtain a version of Lappan's 5-point theorem. Further, a necessary condition for all solutions of algebraic differential equation of nth order to be weighted Yosida functions is found.

Original languageEnglish
Pages (from-to)167-172
Number of pages6
JournalComplex Variables and Elliptic Equations
Issue number1-3
Publication statusPublished - Jan 2010


  • 5-point theorem
  • Algebraic differential equation
  • Spherical derivative
  • Yosida function

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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