A new subclass of starlike functions

Authors : Hesam Mahzoon, Rahim Kargar, Janusz Sokol

Pages : 2354-2365

View : 13 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Motivated by the Ronning-starlike class [Proc Amer Math Soc {\bf118}, no. 1, 189-196, 1993], we introduce new class $\mathcal{S}^*_c$ includes of analytic and normalized functions $f$ which satisfy the inequality $$ {\rm Re}\left\{\frac{zf'(z)}{f(z)}\right\}\geq\left|\frac{f(z)}{z}-1\right|\quad(|z|1/2$ in $|z|
Keywords : Starlike, subordination, Marx?Strohhäcker problem, logarithmic coefficients, Fekete?Szegö problem