Abstract
A function f(z) meromorphic in a domain \(D\subset {\mathbb {C}}\) is said to be p-valent in D if for each w the equation \(f(z)=w\) 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 \(f(z)=v\) has exactly p roots in D. We prove some new sufficient conditions for functions to be p-valently starlike in the unit disc.
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Nunokawa, M., Sokół, J. Conditions for Starlikeness of Multivalent Functions. Results Math 72, 359–367 (2017). https://doi.org/10.1007/s00025-016-0646-4
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DOI: https://doi.org/10.1007/s00025-016-0646-4