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
- 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.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
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