ABSTRACT
We prove some new sufficient conditions for function to be p-valent, or p-valently starlike in the unit disc. We extend in some sense the Ozaki condition which says that if
for some real , then
is at most p-valent in a convex domain
.
AMS SUBJECT CLASSIFICATIONS:
Acknowledgements
This work was partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge, Faculty of Mathematics and Natural Sciences, University of Rzeszów.
Notes
No potential conflict of interest was reported by the authors.