Some applications of differential subordination for certain starlike functions
Pages : 1979-1987
View : 9 | Download : 5
Publication Date : 0000-00-00
Article Type : Research Paper
Abstract :Let $\mathcal{S}^*insert ignore into journalissuearticles values(q_c);$ denote the class of functions $f$ analytic in the open unit disc $\Delta$, normalized by the condition $finsert ignore into journalissuearticles values(0);=0=f`insert ignore into journalissuearticles values(0);-1$ and satisfying the following inequality $\left|\leftinsert ignore into journalissuearticles values(\frac{zf`insert ignore into journalissuearticles values(z);}{finsert ignore into journalissuearticles values(z);}\right);^2-1\right| < c \quad insert ignore into journalissuearticles values(z\in\Delta, 0
Keywords : Analytic, univalent, subordination, Janowski starlike functions, Bernoulli lemniscate