Abstract
Let B be the class of functions ω(z) regular in |z| < 1 and satisfying ω(0) = 0, |ω(z)|<1 in |z|<1. We denote by P(A, B), −1 ≤ B < A ≤1, the class of functions p(z) = l+p1z+… regular in |z| < 1 and such that p(z) = [1+Aω(z)]/[1+Bω(z)] for some ω(z) ∈ Β. This paper establishes sharp lower and upper bounds on |z| = r<1 for the functionalwhere p(z) varies in P(A, B). The results are then used to study certain geometric properties of the corresponding class of meromorphic starlike univalent functions
Publisher
Cambridge University Press (CUP)
Reference6 articles.
1. [1] Duren P. , “Subordination” (Lecture Notes in Mathematics, Springer-Verlag, 599, 1977).
2. On a class of meromorphic starlike functions in the unit disc;Karunakaran;Math. Chronicle,1976
3. On certain classes of starlike functions in the unit disk;Padmanabhan;J. Indian Math. Soc.,1968
4. On meromorphic starlike functions
5. On the radius of convexity of some family of functions regular in the ring 0<|z|<1;Wiatrowski;Ann. Polon. Math.,1971
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