Iteration and the zeros of the second derivative of a meromorphic function

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Abstract

Suppose that f =(f1/f2)ep where the fi are real entire functions of order less than n with only finitely many non-real zeros and P is a real polynomial of degree n. Suppose thatf1 or f2 is a polynomial. It is shown that f” has at least n - 2 distinct non-real zeros. The proof is based on the iteration of transcendental meromorphic functions.

Original languageEnglish (US)
Pages (from-to)629-650
Number of pages22
JournalProceedings of the London Mathematical Society
Volumes3-65
Issue number3
DOIs
StatePublished - Nov 1992

ASJC Scopus subject areas

  • Mathematics(all)

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