Research Article

On the algebraic properties of the univalent functions in class S

Volume: 5 Number: 3 July 1, 2017
EN

On the algebraic properties of the univalent functions in class S

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.

Keywords

References

  1. Koichi Sakaguchi,On a Certain Univalent Mapping,Journal of Mathematical Society of Japan ,1959, Vol.11 No.1.
  2. 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.
  3. 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.
  4. Nikola Tuneski, Some Results on Starlike and Convex Functions,Applicable analysis and Discrete Mathematics,2007,293-298.
  5. Peter L. Duren,Univalent Functions,Springer-Verlag New York,1983.
  6. Shigeyoshi Owa,The order of ,close-to-Convexity for Certain Univalent Functions,Journal of Mathematical Analysis and Applications1989,138,393-396.
  7. T. Hayami , H.Shiraishi , S.Owa, I. Yildiz , Notes on Nunokawa Lemmas,International Journal of Applied Mathematics 2012, 429-441.
  8. Vanessa Bertoni,Dimitri K. Dimitrov,Generating Starlike and Convex Univalent Functions,Mathematica Balkanica New Series Vol.19,2005,Fasc.3-4.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

İsmet Yildiz * This is me
Türkiye

Hasan Sahin
Türkiye

Neslihan Uyanik This is me
Türkiye

Publication Date

July 1, 2017

Submission Date

August 15, 2017

Acceptance Date

September 12, 2017

Published in Issue

Year 2017 Volume: 5 Number: 3

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. https://izlik.org/JA75NY86NE
AMA
1.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):293-298. https://izlik.org/JA75NY86NE
Chicago
Yildiz, İsmet, Hasan Sahin, and Neslihan Uyanik. 2017. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences 5 (3): 293-98. https://izlik.org/JA75NY86NE.
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
[1]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, July 2017, [Online]. Available: https://izlik.org/JA75NY86NE
ISNAD
Yildiz, İsmet - Sahin, Hasan - Uyanik, Neslihan. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 293-298. https://izlik.org/JA75NY86NE.
JAMA
1.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, July 2017, pp. 293-8, https://izlik.org/JA75NY86NE.
Vancouver
1.İsmet Yildiz, Hasan Sahin, Neslihan Uyanik. On the algebraic properties of the univalent functions in class S. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):293-8. Available from: https://izlik.org/JA75NY86NE