A covering theorem for odd typically-real functions

E. P. Merkes

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-4

Abstract:

An analytic function f ( z ) = z + a 2 z 2 + … in | z | < 1 is typically-real if Im f ( z ) Im z ≥ 0 . The largest domain G in which each odd typically-real function is univalent (one-to-one) and the domain ⋂ f ( G ) for all odd typically real functions f are obtained.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:101604

DOI: 10.1155/S0161171280000130

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