Coefficient Inequalities for Janowski Type Close-to-Convex Functions Associated with Ruscheweyh Derivative Operator

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.

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R. M. Goel, B. C. Mehrok, “A subclass of starlike functions with respect to symmetric points,” Tamkang Journal of Mathematics, vol. 13, no. 1, pp. 11–24, 1982.

W. Janowski, “Some extremal problems for certain families of analytic functions,” Annales Polonici Mathematici, 28, pp. 297-326, 1973.

W. Kaplan, “Close-to-convex schlicht functions,” The Michigan Mathematical Journal, vol.1, no.2, pp. 169-185, 1952.

M. O. Reade, “ On close-to-convex univalent functions,” The Michigan Mathematical Journal, vol. 3, no. 1, pp. 59- 62, 1955.

S. Ruscheweyh, “New criteria for univalent functions,” Proceedings of the American Mathematical Society, vol. 49, no. 1, pp. 109- 115, 1975.