Conditions for Starlikeness of Multivalent Functions

Conditions for Starlikeness of Multivalent Functions A function f(z) meromorphic in a domain $$D\subset {\mathbb {C}}$$ D ⊂ C is said to be p-valent in D if for each w the equation $$f(z)=w$$ f ( z ) = w has at most p roots in D, where roots are counted in accordance with their multiplicity, and there is some v such that the equation $$f(z)=v$$ f ( z ) = v has exactly p roots in D. We prove some new sufficient conditions for functions to be p-valently starlike in the unit disc. Results in Mathematics Springer Journals

Conditions for Starlikeness of Multivalent Functions

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Springer International Publishing
Copyright © 2017 by Springer International Publishing
Mathematics; Mathematics, general
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