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On Nunokawa's conjecture for multivalent functions
Shigeyoshi Owa
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Source: Crossref
Published: Apr 1, 1990
DOI: 10.1017/s0004972700018116
Open original source ↗Source abstract
The object of this paper is to prove a conjecture given recently by Nunokawa that if f(z) ∈ Α( p ) satisfies Re{1 + zf ″( z )/ f ′( z )} < p + 1/2 in the unit disk U , then f(z) is p -valently starlike in U .
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