manuscripta mathematica

, Volume 23, Issue 4, pp 325–341 | Cite as

Über die Nullstellen homogener Differentialpolynome

  • Erwin Mues
Article
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Abstract

In this paper it is discussed for which entire functions g the homogeneous differential polynomial gg″-ag′2 has no zeros. It is shown that g(z)=exp (αz+β) are the only transcendental entire functions with this property if a≠1. The case a=1 is indeed exceptional. This result settles a question of Hayman.

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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Erwin Mues
    • 1
  1. 1.Mathematisches Institut IUniversität Karlsruhe (TH)Karlsruhe 1Westdeutschland

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