A unified approach to radius of convexity problems for certain classes of univalent analytic functions

M. L. Mogra and O. P. Juneja

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-12

Abstract:

We consider functions f analytic in the unit disc and assume the power series representation of the form f ( z ) = z + a n + 1 z n + 1 + a n + 2 z n + 2 + … where a n + 1 is fixed throughout. We provide a unified approach to radius convexity problems for different subclasses of univalent analytic functions. Numerous earlier estimates concerning the radius of convexity such as those involving fixed second coefficient, n initial gaps, n + 1 symmetric gaps, etc. are discussed. It is shown that several known results, follow as special cases of those presented in this paper.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:357921

DOI: 10.1155/S016117128400048X

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