Fekete-szegö Functional for Some Subclass of Non-bazilevič Functions
نویسندگان
چکیده
In this present investigation, the authors obtain a sharp Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which (1 + β) ( z f(z) )α − βf ′(z) ( z f(z) )1+α , (β ∈ C, 0 < α < 1) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also, certain applications of our results for a class of functions defined by convolution are given. As a special case of this result, Fekete-Szegö’s inequality for a class of functions defined through fractional derivatives is also obtained.
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