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Year 2017, Volume: 5 Issue: 2, 199 - 203, 30.03.2017

İsmet Yildiz , Oya Mert Neslihan Uyanik Neslihan Zorlu

Abstract

References

  • M. Nunokawa , M. Aydoğan , K. Kuroki , I. Yildiz , S. Owa, ” On 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.
  • C. Carath´eodory, Mathematische Annalen,- Springe., 64(1907), 95-115.
  • P. L. Duren ., 1. Univalen Functions., I. Title ., II Series. QA331.D96 1983 515.9
  • K. Kuroki, S. Owa and I. Yildiz ” On starlikeness of confluent hypergeometric functions” International Journal of Applied Mathematics, Volume 25 No. 4 2012, 583-589. M.S. Robertson,”On the Theory of Univalent Functions” , Ann. of Math,37(1936), 374-408.

Extremal functions for starlike functions and convex functions

Year 2017, Volume: 5 Issue: 2, 199 - 203, 30.03.2017

İsmet Yildiz , Oya Mert Neslihan Uyanik Neslihan Zorlu

Abstract

In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2r+1)   defined on the unit disk using analytic and univalent functions.


Keywords

Starlike function convex function analytic function

References

  • M. Nunokawa , M. Aydoğan , K. Kuroki , I. Yildiz , S. Owa, ” On 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.
  • C. Carath´eodory, Mathematische Annalen,- Springe., 64(1907), 95-115.
  • P. L. Duren ., 1. Univalen Functions., I. Title ., II Series. QA331.D96 1983 515.9
  • K. Kuroki, S. Owa and I. Yildiz ” On starlikeness of confluent hypergeometric functions” International Journal of Applied Mathematics, Volume 25 No. 4 2012, 583-589. M.S. Robertson,”On the Theory of Univalent Functions” , Ann. of Math,37(1936), 374-408.
There are 4 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

İsmet Yildiz

Oya Mert This is me

Neslihan Uyanik This is me

Neslihan Zorlu This is me

Publication Date March 30, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Yildiz, İ., Mert, O., Uyanik, N., Zorlu, N. (2017). Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences, 5(2), 199-203.
AMA Yildiz İ, Mert O, Uyanik N, Zorlu N. Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences. March 2017;5(2):199-203.
Chicago Yildiz, İsmet, Oya Mert, Neslihan Uyanik, and Neslihan Zorlu. “Extremal Functions for Starlike Functions and Convex Functions”. New Trends in Mathematical Sciences 5, no. 2 (March 2017): 199-203.
EndNote Yildiz İ, Mert O, Uyanik N, Zorlu N (March 1, 2017) Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences 5 2 199–203.
IEEE İ. Yildiz, O. Mert, N. Uyanik, and N. Zorlu, “Extremal functions for starlike functions and convex functions”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 199–203, 2017.
ISNAD Yildiz, İsmet et al. “Extremal Functions for Starlike Functions and Convex Functions”. New Trends in Mathematical Sciences 5/2 (March2017), 199-203.
JAMA Yildiz İ, Mert O, Uyanik N, Zorlu N. Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences. 2017;5:199–203.
MLA Yildiz, İsmet et al. “Extremal Functions for Starlike Functions and Convex Functions”. New Trends in Mathematical Sciences, vol. 5, no. 2, 2017, pp. 199-03.
Vancouver Yildiz İ, Mert O, Uyanik N, Zorlu N. Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences. 2017;5(2):199-203.