Sequences of analytic functions and their zeros

@article{Ganelius1954SequencesOA,
  title={Sequences of analytic functions and their zeros},
  author={Tord H. Ganelius},
  journal={Arkiv f{\"o}r Matematik},
  year={1954},
  volume={3},
  pages={1-50}
}
  • T. Ganelius
  • Published 1 March 1954
  • Philosophy
  • Arkiv för Matematik

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A further note on trigonometrical inequalities

  • A. Ingham
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1950
1. The aim of this note is to prove the Theorem. Let where the λnare real and and let Then A similar result holds for infinite seriesconverging uniformly in [−T, T].

Sur les fonctions entières

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On sequences of polynomials and the distribution of their zeros

THEOREM 2. If the sequence (1) converges uniformly in a circle \z\ <R, and if the roots znv lie in the half-plane %z^0 for each n, then the sequence (1) converges uniformly in every finite domain to