Research Article

Extremal functions for starlike functions and convex functions

Volume: 5 Number: 2 March 30, 2017
New Trends in Mathematical Sciences Cover
New Trends in Mathematical Sciences
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Extremal functions for starlike functions and convex functions

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

References

  1. 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.
  2. C. Carath´eodory, Mathematische Annalen,- Springe., 64(1907), 95-115.
  3. P. L. Duren ., 1. Univalen Functions., I. Title ., II Series. QA331.D96 1983 515.9
  4. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Oya Mert This is me
Türkiye

Neslihan Uyanik This is me
Türkiye

Neslihan Zorlu This is me
Türkiye

Publication Date

March 30, 2017

Submission Date

May 31, 2017

Acceptance Date

August 4, 2017

Published in Issue

Year 1970 Volume: 5 Number: 2

IZ

https://izlik.org/JA56RH62MU

Cite

RIS / Bibtex
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. https://izlik.org/JA56RH62MU
AMA
1.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. https://izlik.org/JA56RH62MU
Chicago
Yildiz, İsmet, Oya Mert, Neslihan Uyanik, and Neslihan Zorlu. 2017. “Extremal Functions for Starlike Functions and Convex Functions”. New Trends in Mathematical Sciences 5 (2): 199-203. https://izlik.org/JA56RH62MU.
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
[1]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, Mar. 2017, [Online]. Available: https://izlik.org/JA56RH62MU
ISNAD
Yildiz, İsmet - Mert, Oya - Uyanik, Neslihan - Zorlu, Neslihan. “Extremal Functions for Starlike Functions and Convex Functions”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 199-203. https://izlik.org/JA56RH62MU.
JAMA
1.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, Mar. 2017, pp. 199-03, https://izlik.org/JA56RH62MU.
Vancouver
1.İsmet Yildiz, Oya Mert, Neslihan Uyanik, Neslihan Zorlu. Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):199-203. Available from: https://izlik.org/JA56RH62MU