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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Weakly starlike meromorphic univalent functions
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by Richard J. Libera and Albert E. Livingston PDF
Trans. Amer. Math. Soc. 202 (1975), 181-191 Request permission

Abstract:

A weakly starlike meromorphic univalent function is one of the form $f(z) = - \rho zg(z){[(z - \rho )(1 - \rho z)]^{ - 1}}$ for $0 < \rho < 1$ and $g(z)$ a meromorphic starlike function. The behavior of coefficients and growth of this class of functions and of a subset are studied.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 202 (1975), 181-191
  • MSC: Primary 30A32
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0361036-2
  • MathSciNet review: 0361036