Geodesic
Certain Geometric Properties of Analytic Functions Associated with the Convolutions
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 161 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

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 
@article{KJM_2018_42_2_a0,
     author = {Poonam Sharma and Aditya K. Bajpai},
     title = {Certain {Geometric} {Properties} of {Analytic} {Functions} {Associated} with the {Convolutions}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {161 },
     year = {2018},
     volume = {42},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a0/}
}
TY  - JOUR
AU  - Poonam Sharma
AU  - Aditya K. Bajpai
TI  - Certain Geometric Properties of Analytic Functions Associated with the Convolutions
JO  - Kragujevac Journal of Mathematics
PY  - 2018
SP  - 161 
VL  - 42
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a0/
LA  - en
ID  - KJM_2018_42_2_a0
ER  - 
%0 Journal Article
%A Poonam Sharma
%A Aditya K. Bajpai
%T Certain Geometric Properties of Analytic Functions Associated with the Convolutions
%J Kragujevac Journal of Mathematics
%D 2018
%P 161 
%V 42
%N 2
%U http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a0/
%G en
%F KJM_2018_42_2_a0
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/