Geodesic
CHARACTERIZATION PROPERTIES FOR STARLIKENESS AND CONVEXITY OF SOME SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING A CLASS OF FRACTIONAL DERIVATIVE OPERATORS
Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1 
R. K. Raina; T. S. Nahar. CHARACTERIZATION PROPERTIES FOR STARLIKENESS AND CONVEXITY OF SOME SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING A CLASS OF FRACTIONAL DERIVATIVE OPERATORS. Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a0/
@article{AMUC_2000_69_1_a0,
     author = {R. K. Raina and T. S. Nahar},
     title = {CHARACTERIZATION {PROPERTIES} {FOR} {STARLIKENESS} {AND} {CONVEXITY} {OF} {SOME} {SUBCLASSES} {OF} {ANALYTIC} {FUNCTIONS} {INVOLVING} {A} {CLASS} {OF} {FRACTIONAL} {DERIVATIVE} {OPERATORS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2000},
     volume = {69},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a0/}
}
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AU  - T. S. Nahar
TI  - CHARACTERIZATION PROPERTIES FOR STARLIKENESS AND CONVEXITY OF SOME SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING A CLASS OF FRACTIONAL DERIVATIVE OPERATORS
JO  - Acta mathematica Universitatis Comenianae
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UR  - http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a0/
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%J Acta mathematica Universitatis Comenianae
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%U http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a0/
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Voir la notice de l'article provenant de la source Comenius University

This paper investigates the characterization properties exhibited by a class of fractional derivative operators of certain analytic functions in the open unit disk to be starlike or convex. Further characterization theorems associated with the Hadamard product (or convolution) are also studied.