Publication: On a subclass of harmonic mappings
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Abstract
In the present paper we extent the fundamental property that if
h(z) and g(z) are regular functions in the open unit disc D with the properties
h(0) = g(0) = 0, h(z) maps D onto λ-spiral region and Ren
e
iλ g
0
(z)
h0(z)
o
> 0, then
Ren
e
iλ g(z)
h(z)
o
> 0, and then give some applications of this to the harmonic functions.