Geodesic
Certain Applications of Differential Subordination
Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 107

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $A$ denote the class of functions $f$ regular in the unit disc $E$, such that $f(0)=0=f'(0)-1$. Let $k_a(z)= z/(1-z)^a$ where a is a real number. We denote by $K_a(h)$ the class of functions $f\in A$ satisfying $1+\frac{z(k_a\ast f)''(z)}{(k_a\ast f)'(z)}\prec h(z)$, where $h$ is a convex univalent function in $E$ with $h(0)=1$ and Re$a(h(z))>0$. Several properties of the class $K_a(h)$ are investigated. Certain allied classes are also studied.
Classification : 30C45 
@article{PIM_1986_N_S_39_53_a15,
     author = {K. S. Padmanabhan and R. Manjini},
     title = {Certain {Applications} of {Differential} {Subordination}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {107 },
     publisher = {mathdoc},
     volume = {_N_S_39},
     number = {53},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a15/}
}
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K. S. Padmanabhan; R. Manjini. Certain Applications of Differential Subordination. Publications de l'Institut Mathématique, _N_S_39 (1986) no. 53, p. 107 . http://geodesic.mathdoc.fr/item/PIM_1986_N_S_39_53_a15/