A new subclass of starlike functions

Authors : Hesam MAHZOON, Rahim KARGAR, Janusz SOKOL

Pages : 2354-2365

View : 13 | Download : 9

Publication Date : 0000-00-00

Article Type : Research Paper

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`insert ignore into journalissuearticles values(z);}{finsert ignore into journalissuearticles values(z);}\right\}\geq\left|\frac{finsert ignore into journalissuearticles values(z);}{z}-1\right|\quadinsert ignore into journalissuearticles values(|z|1/2$ in $|z|
Keywords : Starlike, subordination, Marx Strohhäcker problem, logarithmic coefficients, Fekete Szegö problem