Geodesic
Certain Geometric Properties of Analytic Functions Associated with the Convolutions
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 161

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

In this paper, we define convolutions $( f\ast g( [ \alpha ] ) ) (z)$ and $( f\ast h( [ \alpha ] ) )(z)$ of functions analytic in the open unit disk with some non-zero parameter $\alpha $, satisfying certain recurring relations. Making use of admissible function method introduced by Miller and Mocanu, certain geometric properties of these convolutions are obtained. Taking specific forms of the functions $g( [ \alpha ] ) $ and $h( [\alpha ] ) $, some consequences of our results are also given.
Classification : 30C45, 30C50
Keywords: analytic functions, convolution, Dziok-Srivastava convolution operator, Jung-Kim-Srivastava integral operator, multiplier operator 
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     author = {Poonam Sharma and Aditya K. Bajpai},
     title = {Certain {Geometric} {Properties} of {Analytic} {Functions} {Associated} with the {Convolutions}},
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Poonam Sharma; Aditya K. Bajpai. Certain Geometric Properties of Analytic Functions Associated with the Convolutions. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 161 . http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a0/