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On the algebraic properties of the univalent functions in class S

Yıl 2017, Cilt: 5 Sayı: 3, 293 - 298, 01.07.2017

Öz

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.

Kaynakça

  • 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.
Yıl 2017, Cilt: 5 Sayı: 3, 293 - 298, 01.07.2017

Öz

Kaynakça

  • 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.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

İsmet Yildiz Bu kişi benim

Hasan Sahin

Neslihan Uyanik Bu kişi benim

Yayımlanma Tarihi 1 Temmuz 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

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. Temmuz 2017;5(3):293-298.
Chicago Yildiz, İsmet, Hasan Sahin, ve Neslihan Uyanik. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences 5, sy. 3 (Temmuz 2017): 293-98.
EndNote Yildiz İ, Sahin H, Uyanik N (01 Temmuz 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, ve N. Uyanik, “On the algebraic properties of the univalent functions in class S”, New Trends in Mathematical Sciences, c. 5, sy. 3, ss. 293–298, 2017.
ISNAD Yildiz, İsmet vd. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences 5/3 (Temmuz 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 vd. “On the Algebraic Properties of the Univalent Functions in Class S”. New Trends in Mathematical Sciences, c. 5, sy. 3, 2017, ss. 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.