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Certain Family of Univalent Functions Associated With Subordination

Published on September 2015 by J.c.jain, S.m.khairnar
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International Conference and Workshop on Communication, Computing and Virtualization
Foundation of Computer Science USA
ICWCCV2015 - Number 1
September 2015
Authors: J.c.jain, S.m.khairnar
cc1ab50e-03f7-4d07-b3c3-293b0c369d2e

J.c.jain, S.m.khairnar . Certain Family of Univalent Functions Associated With Subordination. International Conference and Workshop on Communication, Computing and Virtualization. ICWCCV2015, 1 (September 2015), 0-0.

@article{
author = { J.c.jain, S.m.khairnar },
title = { Certain Family of Univalent Functions Associated With Subordination },
journal = { International Conference and Workshop on Communication, Computing and Virtualization },
issue_date = { September 2015 },
volume = { ICWCCV2015 },
number = { 1 },
month = { September },
year = { 2015 },
issn = 2249-0868,
pages = { 0-0 },
numpages = 1,
url = { /proceedings/icwccv2015/number1/788-1557/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference and Workshop on Communication, Computing and Virtualization
%A J.c.jain
%A S.m.khairnar
%T Certain Family of Univalent Functions Associated With Subordination
%J International Conference and Workshop on Communication, Computing and Virtualization
%@ 2249-0868
%V ICWCCV2015
%N 1
%P 0-0
%D 2015
%I International Journal of Applied Information Systems
Abstract

The main aim of this paper is to introduce a new class H(?,,?,?,A,B) of univalent and analytic function p(z)=z+?_(n=2)^???a_n z^n ? and obtained the results of coefficient estimates, growth and distortion theorem, radii of close to convexity, starlikeness and convexity, clousure theorem, weighted mean ,arithmetic mean, linear combination for the class, applications of fractional calculus and its certain properties for the class.

References
  1. Murugusundaramoorthy G. Rosy T. and Muthunagai K. (2007),Carlson-Shaffer operator and their applications to certain subclass of uniformly convex functions, General Mathematics,15(4) (2007), 131-143 .
  2. Asthan W. G. , Mustafa H. D and Mouajeeb E. K. (2013), Subclass Of multivalent functions defined by Hadamard product involving a linear operator, Int. Journal of Math. Analysis, 7, 24, 1193-1206.
  3. S. M. Khairnar and Meena More (2008), Certain family of analytic and univalent functions with normalized conditions, Acta Mathematica Academiae Paedagogicae Nyiregyh axiensis, 24 , 333-344.
  4. S. M. Khairnar and Meena More, Properties of a class of analytic and univalent functions using ruscheweyh derivative,Int. J. Contemp . Math. Sciences,Vol. 3,2008,967-976.
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  7. K. I. Noor, Some classes of p-valent analytic functions defined by certain integral operator, Appli. Math. Comput. (2003),1-6.
  8. P. G. Jadhav, Certain family of analytic and multivalent functions with normalised conditions, IJMSEA, Vol. V (2013),343-362.
  9. S. M. Khairnar and P. G. Jadhav, Certain family of multivalent functions associated with subordination, Int. J. Of Pure & Engg. Mathematics (IJPEM),Vol. 1, December 2013,1-14.
  10. S. M. Khairnar and Meena More (2009),A subclass of uniformly convex functions associated with certain fractional calculus operator', IAENG International Journal of Applied Mathematics, 39(3), 184-191.
Index Terms

Computer Science
Information Sciences

Keywords

Analytic functions univalent functions starlike function convex function subordination closed to convex function Application of fractional calculus.