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On Certain Subclasses of p-valent Starlike Functions
J. Patel ...et al KYUNGPOOK UNIVERSITY 1996 Kyungpook mathematical journal Vol.36 No.1
In the present paper, we introduce two subclasses T^(*)_(p) (α,β,γ, A, B) and C_(p)(α,β,γ, A, B) of p-valent starlike functions in the unit disc U = {z : |z|< 1}. We prove certain coefficient inequalities, distortion theorems and substantially more general distortion theorems involving fractional derivatives and fractional integrals of functions belonging to the classes T^(*)_(p) (α,β,γ, A, B) and C_(p) (α,β,A,B).The raddi of p-valent convexity for functions belonging to these subclasses is also determine