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/