Notes on some p-valent functions

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Aydoğan S. M., Karahüseyin Z., Owa S.

Communication in Mathematical Modeling and Applications, vol.4, no.2, pp.65-70, 2019 (Peer-Reviewed Journal)


Let Ap be the class of analytic functions f(z) = z p +ap+1z p+1 +ap+2z p+2 +··· in the open unit disk U. We introduce a subclass Ap(j,α) of Ap using some inequality for f(z) ∈ Ap. The object of the present paper is to consider some interesting properties for f(z) concerning with the class Ap(j,α).