Fekete-Szegö problem for a general subclass of analytic functions

Authors: NESLİHAN UYANIK

Abstract: In this present investigation, we introduced a certain subclass of starlike and convex functions of complex order $b$, using a linear multiplier differential operator $D_{\lambda ,\mu }^{m}f(z)$. For this class, the Fekete-Szegö problem is completely solved. Various new special cases are considered.

Keywords: Fekete-Szegö problem, analytic functions, starlike and convex functions of complex order, linear multiplier differential operator

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