# RADII PROBLEMS OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH FIXED SECOND COEFFICIENTS

• PORWAL, SAURABH (Department of Mathematics, U.I.E.T., C.S.J.M. University) ;
• BULUT, SERAP (Kocaeli University, Civil Aviation College, Arslanbey Campus)
• Accepted : 2015.06.10
• Published : 2015.09.25

#### Abstract

The purpose of the present paper is to study certain radii problems for the function $$f(z)=${\frac{z^{1-{\gamma}}}{{\gamma}+{\beta}}}$z^{\gamma}[D^nF(z)]^{\beta}$^{\prime}$^{1/{\beta}}$$, where ${\beta}$ is a positive real number, ${\gamma}$ is a complex number such that ${\gamma}+{\beta}{\neq}0$ and the function F(z) varies various subclasses of analytic functions with fixed second coefficients. Relevant connections of the results presented herewith various well-known results are briefly indicated.

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