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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Deficient values of entire functions and their derivatives
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by David Drasin, Guang Hou Zhang, Lo Yang and Allen Weitsman PDF
Proc. Amer. Math. Soc. 82 (1981), 607-612 Request permission

Abstract:

Let $f(z)$ be entire and of finite order, ${f^{(n)}}$ be the $n$th derivative, and ${\Delta _n}(f) = \Sigma \delta (a,{f^{(n)}})$, the sum of all deficient values of ${f^{(n)}}$. The authors show that ${\Delta _n}(f)$ can be strictly increasing.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 607-612
  • MSC: Primary 30D35
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0614887-9
  • MathSciNet review: 614887