Coefficient inequalities for Janowski type close-to-convex functions associated with Ruscheweyh Derivative Operator

Yıl 2019, Cilt: 23 Sayı: 5, 714 - 717, 01.10.2019

Öznur Özkan Kılıç

https://doi.org/10.16984/saufenbilder.511321

Cited By: 1

Öz

The aim of this paper  is to
introduce a new subclasses of the Janowski type close-to-convex functions
defined by Ruscheweyh derivative operator and obtain coefficient bounds
belonging to this class. 

Anahtar Kelimeler

Univalent function, Subordination, Close-to-convex function

Kaynakça

• [1] R. M. Goel, B. C. Mehrok, “A subclass of starlike functions with respect to symmetric points” , Tamkang Journal of Mathematics, Vol. 13, No. 1, 11–24, 1982. [2] W. Janowski, “Some extremal problems for certain families of analytic functions”, Ann. Pol. Math., 28, 297-326, 1973.[3] W. Kaplan, “Close-to-convex schlicht functions”, Michigan Math. J., 1, 169-185, 1952.[4] M. O. Reade, “ On close-to-convex univalent functions”, Michigan Math. J., Volume 3, Issue 1, 59-62, 1955.[5] S. Ruscheweyh, “New criteria for univalent functions”, Proc. Amer. Math. Soc., 49, 109- 115, 1975.