UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS
Univalent functions, Parabolic Starlikefunctions, Uniformly Convex functions, Integral operator, Generalized Fox-Wright function
Abstract
The aim of this paper is to establish sufficient conditions for the function z {pψq (z)} to be in the classes of uniformly starlike and uniformly convex functions associated with the parabolic region Re {ω} > | − 1 ω | . Further, convolution of the functions which are analytic in the open unit disk with negative coefficients have been investigated. Finally, similar results using an integral operator have also been obtained.
Downloads
How to Cite
References
Al-Refai, Oqlah, Maslina Darus (2009) An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions. 18.
I Bapna, Nidhi Jain (2010) Parabolic Starlike and Uniformly Convex Functions. 4(39), 1913-1921.
V Chaurasia, Yaghvendra Kumawat (2011) Uniformly Starlike And Uniformly Convexity Properties For Certain Special Functions. 11.
V Chaurasia, Srivastava (2008) Amber, Uniformly starlike and uniformly convex functions pertaining to special functions. 9(1), 6.
K Dixit, V Verma (2001) Uniformly starlike and uniformly convexity properties for hypergeometric functions. 93(6), 477-482.
A Goodman (1991) On uniformly convex functions. 56(1), 87-92.
A Goodman (1991) On uniformly starlike functions. 155(2), 364-370.
K Gupta, R Jain, A Sharma (2003) Fractional Calculus and Its Applications. 2, 269-282.
S Kanas, F Ronning Uniformly starlike and convex functions and other related classes of univalent functions. 105.
W Ma, D Minda (1992) Uniformly Convex Functions. 57, 165-175.
F Ronning (1995) Some Radius Results for Univalent Functions. 194(1), 319-327.
Frode Ronning (1993) Uniformly Convex Functions and a Corresponding Class of Starlike Functions. 118(1), 189.
F Ronning (1993) Uniformly convex functions and a corresponding class of starlike functions. 118(1), 189-196.
T Shanmugam, C Ramachandran, S Sivasubramani An, A Gangadharan (2005) Generalized hypergeo -metric functions associated with uniformly starlike and uniformly convex functions. XXXIM(2), 469-476.
H Silverman (2009) A Class of Starlike Functions Defined by the Dziok Srivastava Operator. 49, 95-106.
Published
2011-10-07
Issue
Section
License
Copyright (c) 2011 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.