Some properties of the generalized subclasses of Janowski type alpha-quasi-convex functions
Serdica Mathematical Journal, Tome 47 (2021) no. 1, pp. 45-60
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The present paper is concerned with certain generalized subclasses of alpha-quasi-convex functions in the open unit disc \(E=\{z:|z|<1\}\). We establish some properties such as the coefficient estimates, distortion theorems, growth theorems and radius of quasi convexity for these classes. Various earlier known results will follow as special cases.
Keywords:
univalent functions, analytic functions, subordination, starlike functions, convex functions, quasi-convex functions, alpha-quasi-convex functions, 30C45, 30C50
@article{SMJ2_2021_47_1_a3,
author = {Singh, Gagandeep and Singh, Gurcharanjit},
title = {Some properties of the generalized subclasses of {Janowski} type alpha-quasi-convex functions},
journal = {Serdica Mathematical Journal},
pages = {45--60},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_47_1_a3/}
}
TY - JOUR AU - Singh, Gagandeep AU - Singh, Gurcharanjit TI - Some properties of the generalized subclasses of Janowski type alpha-quasi-convex functions JO - Serdica Mathematical Journal PY - 2021 SP - 45 EP - 60 VL - 47 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_2021_47_1_a3/ LA - en ID - SMJ2_2021_47_1_a3 ER -
%0 Journal Article %A Singh, Gagandeep %A Singh, Gurcharanjit %T Some properties of the generalized subclasses of Janowski type alpha-quasi-convex functions %J Serdica Mathematical Journal %D 2021 %P 45-60 %V 47 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SMJ2_2021_47_1_a3/ %G en %F SMJ2_2021_47_1_a3
Singh, Gagandeep; Singh, Gurcharanjit. Some properties of the generalized subclasses of Janowski type alpha-quasi-convex functions. Serdica Mathematical Journal, Tome 47 (2021) no. 1, pp. 45-60. http://geodesic.mathdoc.fr/item/SMJ2_2021_47_1_a3/