Research Article
BibTex RIS Cite

On the algebraic properties of the univalent functions in class S

Year 2017, Volume: 5 Issue: 3, 293 - 298, 01.07.2017

Abstract

This work is shown below, the algebraic sum of the two functions selected from class S of univalent functions which is a subclass of this class A of functions f(z) satisfy the conditions analiytic in the open unit disk U={z∈C:|z|<1} normalized with f(0)=0 and f'(0)=1 is not univalent.

References

  • Koichi Sakaguchi,On a Certain Univalent Mapping,Journal of Mathematical Society of Japan ,1959, Vol.11 No.1.
  • M. Nunokawa , M. Aydo gan , K. Kuroki , I. Yildiz , S.Owa, n the order of close-to-convexity of convex functions of order alpha, Journal of Inequalities and Applications 2012, 2012:245 doi:10.1186/1029-242X- 2012-245.
  • M. Nunokawa , M. Aydo gan , K. Kuroki , I. Yildiz , S.Owa, Some properties concerning close-to-convexity of certain analytic functions, Journal of Inequalities and Applications 2012, 2012:2.
  • Nikola Tuneski, Some Results on Starlike and Convex Functions,Applicable analysis and Discrete Mathematics,2007,293-298.
  • Peter L. Duren,Univalent Functions,Springer-Verlag New York,1983.
  • Shigeyoshi Owa,The order of ,close-to-Convexity for Certain Univalent Functions,Journal of Mathematical Analysis and Applications1989,138,393-396.
  • T. Hayami , H.Shiraishi , S.Owa, I. Yildiz , Notes on Nunokawa Lemmas,International Journal of Applied Mathematics 2012, 429-441.
  • Vanessa Bertoni,Dimitri K. Dimitrov,Generating Starlike and Convex Univalent Functions,Mathematica Balkanica New Series Vol.19,2005,Fasc.3-4.
Year 2017, Volume: 5 Issue: 3, 293 - 298, 01.07.2017

Abstract

References

  • Koichi Sakaguchi,On a Certain Univalent Mapping,Journal of Mathematical Society of Japan ,1959, Vol.11 No.1.
  • M. Nunokawa , M. Aydo gan , K. Kuroki , I. Yildiz , S.Owa, n the order of close-to-convexity of convex functions of order alpha, Journal of Inequalities and Applications 2012, 2012:245 doi:10.1186/1029-242X- 2012-245.
  • M. Nunokawa , M. Aydo gan , K. Kuroki , I. Yildiz , S.Owa, Some properties concerning close-to-convexity of certain analytic functions, Journal of Inequalities and Applications 2012, 2012:2.
  • Nikola Tuneski, Some Results on Starlike and Convex Functions,Applicable analysis and Discrete Mathematics,2007,293-298.
  • Peter L. Duren,Univalent Functions,Springer-Verlag New York,1983.
  • Shigeyoshi Owa,The order of ,close-to-Convexity for Certain Univalent Functions,Journal of Mathematical Analysis and Applications1989,138,393-396.
  • T. Hayami , H.Shiraishi , S.Owa, I. Yildiz , Notes on Nunokawa Lemmas,International Journal of Applied Mathematics 2012, 429-441.
  • Vanessa Bertoni,Dimitri K. Dimitrov,Generating Starlike and Convex Univalent Functions,Mathematica Balkanica New Series Vol.19,2005,Fasc.3-4.
There are 8 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

İsmet Yildiz This is me

Hasan Sahin

Neslihan Uyanik This is me

Publication Date July 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 3

Cite

APA Yildiz, İ., Sahin, H., & Uyanik, N. (2017). On the algebraic properties of the univalent functions in class S. New Trends in Mathematical Sciences, 5(3), 293-298.
AMA Yildiz İ, Sahin H, Uyanik N. On the algebraic properties of the univalent functions in class S. New Trends in Mathematical Sciences. July 2017;5(3):293-298.
Chicago Yildiz, İsmet, Hasan Sahin, and Neslihan Uyanik. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences 5, no. 3 (July 2017): 293-98.
EndNote Yildiz İ, Sahin H, Uyanik N (July 1, 2017) On the algebraic properties of the univalent functions in class S. New Trends in Mathematical Sciences 5 3 293–298.
IEEE İ. Yildiz, H. Sahin, and N. Uyanik, “On the algebraic properties of the univalent functions in class S”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 293–298, 2017.
ISNAD Yildiz, İsmet et al. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences 5/3 (July 2017), 293-298.
JAMA Yildiz İ, Sahin H, Uyanik N. On the algebraic properties of the univalent functions in class S. New Trends in Mathematical Sciences. 2017;5:293–298.
MLA Yildiz, İsmet et al. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences, vol. 5, no. 3, 2017, pp. 293-8.
Vancouver Yildiz İ, Sahin H, Uyanik N. On the algebraic properties of the univalent functions in class S. New Trends in Mathematical Sciences. 2017;5(3):293-8.