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Certain Aspects of Univalent Functions with Negative Coefficient Defined by Fractional Differential Operator

Published on July 2016 by Jayesh Jain, Ajazul Haque, Deepak Dubey, Satishkumar Singh
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National Conference on Role of Engineers in National Building
Foundation of Computer Science USA
NCRENB2016 - Number 4
July 2016
Authors: Jayesh Jain, Ajazul Haque, Deepak Dubey, Satishkumar Singh
a4ff1f90-8c6b-48e9-b83b-0b4747e19f0f

Jayesh Jain, Ajazul Haque, Deepak Dubey, Satishkumar Singh . Certain Aspects of Univalent Functions with Negative Coefficient Defined by Fractional Differential Operator. National Conference on Role of Engineers in National Building. NCRENB2016, 4 (July 2016), 19-23.

@article{
author = { Jayesh Jain, Ajazul Haque, Deepak Dubey, Satishkumar Singh },
title = { Certain Aspects of Univalent Functions with Negative Coefficient Defined by Fractional Differential Operator },
journal = { National Conference on Role of Engineers in National Building },
issue_date = { July 2016 },
volume = { NCRENB2016 },
number = { 4 },
month = { July },
year = { 2016 },
issn = 0975-8887,
pages = { 19-23 },
numpages = 5,
url = { /proceedings/ncrenb2016/number4/25575-4075/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 National Conference on Role of Engineers in National Building
%A Jayesh Jain
%A Ajazul Haque
%A Deepak Dubey
%A Satishkumar Singh
%T Certain Aspects of Univalent Functions with Negative Coefficient Defined by Fractional Differential Operator
%J National Conference on Role of Engineers in National Building
%@ 0975-8887
%V NCRENB2016
%N 4
%P 19-23
%D 2016
%I International Journal of Computer Applications
Abstract

This paper introduced a new subclass of univalent analytic functions and derived various properties like coefficient inequality, distortion theorem, radius of starlikeness and convexity, Hadamard product, extreme points, closure theorems for functions belonging to this classwith the help of fractional differential operator.

References
  1. S. M. KhairnarAndS. M. Rajas, On A New Class Of Analytic And Univalent Functions With Negative Coefficients Defined By Ruscheweyh Derivative, Int. J. Contemp. Math. Sciences, Vol. 4, 2009, No. 34,1653-1664.
  2. G . Murugusundaramoorthy And R. Themangani , Fractional Calculus Operators Associated With A Subclass Of Uniformly Convex Functions, Jordan Journal Of Mathematics And Statistics (Jjms) 2009,2(1),1-10.
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  4. S. R. Kulkarni, WaggasGalibAtshan And G. Murugusundaramoorthy, Application Of Fractional Calculus On Certain Class Of P-Valent Functions With Negative Coefficients Defined By Ruscheweyh Derivative, Int. Journal Of Math. Analysis, 1(22)(2007), 1089-1101.
  5. P. L Duren,Univalent Functions,Grundlehren Math. Wiss. ,Vol. 259,Springer,New York 1983.
  6. A. W. Goodman, Univalent Functions, Grundlehren Math. Wiss. ,Vol. 259,Springer,NewYork 1983.
  7. S. K. Lee and S. B. Joshi,Application Of Fractional Calculus to a class of univalent functionswith negative coefficients,Kyungpook Math. J. ,39(1999),133-139.
  8. M. S. Robertson, Certain Classes Of Stralike Functions, Michigan Math. J. 32(1985),135-140.
Index Terms

Computer Science
Information Sciences

Keywords

Univalent Functions Fractional Derivative Operator Hadamard Product.