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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… Click to show full abstract
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.
Keywords:
conditions starlikeness;
multivalent functions;
starlikeness multivalent
Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!