Geodesic
Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 323-331

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

By making use of the fractional differential operator Ω^λz (0 ≤ λ 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k ∞) is introduced. The class k−SPλ unifies the concepts of k-uniformly convex functions and k-starlike functions. Certain basic properties of k − SPλ such as inclusion theorem, subordination theorem, growth theorem and class preserving transforms are studied.
Keywords: k-Uniformly Convex Function, Carlson-Shaffer Operator, Fractional Derivative, Subordination, Hadamard Product 
@article{FCAA_2006_9_4_a0,
     author = {Mishra, A. K. and Gochhayat, P.},
     title = {Applications of the {Owa-Srivastava} {Operator} to the {Class} of {K-Uniformly} {Convex} {Functions}},
     journal = {Fractional calculus and applied analysis},
     pages = {323--331},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a0/}
}
TY  - JOUR
AU  - Mishra, A. K.
AU  - Gochhayat, P.
TI  - Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
JO  - Fractional calculus and applied analysis
PY  - 2006
SP  - 323
EP  - 331
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a0/
LA  - en
ID  - FCAA_2006_9_4_a0
ER  - 
%0 Journal Article
%A Mishra, A. K.
%A Gochhayat, P.
%T Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
%J Fractional calculus and applied analysis
%D 2006
%P 323-331
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a0/
%G en
%F FCAA_2006_9_4_a0
Mishra, A. K.; Gochhayat, P. Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions. Fractional calculus and applied analysis, Tome 9 (2006) no. 4, pp. 323-331. http://geodesic.mathdoc.fr/item/FCAA_2006_9_4_a0/