UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS

UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS

Article ID

ZW3C3

,

UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS

Dr. ROHIT MUKHERJEE

AMBER SRIVASTAVA SWAMI KESHVANAND INSTITUTE OF TECHNOLOGY,MANAGEMENT & GRAMOTHAN,JAIPUR

DOI

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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.

UNIFORMLY STARLIKE AND UNIFORMLY CONVEXITY PROPERTIES PERTAINING TO CERTAIN SPECIAL FUNCTIONS

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.

Authors

Dr. ROHIT MUKHERJEE

AMBER SRIVASTAVA SWAMI KESHVANAND INSTITUTE OF TECHNOLOGY,MANAGEMENT & GRAMOTHAN,JAIPUR

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How to Cite

AMBER SRIVASTAVA. 1970. “. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 7): .

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GJSFR Volume 11 Issue 7
Pg. 25- 32

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Submission Received August 2, 2011
Accepted August 24, 2011
Published September 6, 2011

Keywords

Generalized Fox-Wright function Integral operator Parabolic Starlikefunctions Uniformly Convex functions Univalent functions

Article Matrices

Total Score: 107

Country: India

Subject: Uncategorized

Authors: Dr. ROHIT MUKHERJEE,AMBER SRIVASTAVA (PhD/Dr. count: 1)

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Publish Date: 1970 01, Thu

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