**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30174

##### Extremal Properties of Generalized Class of Close-to-convex Functions

**Authors:**
Norlyda Mohamed,
Daud Mohamad,
Shaharuddin Cik Soh

**Abstract:**

**Keywords:**
Argument of f ′(z) ,
Carathéodory Function,
Closeto-
convex Function,
Distortion Theorem,
Extremal Properties

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1334974

**References:**

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[2] C. Y. Gao, and S. Q. Zhou, "Certain subclass of starlike functions," Applied Math. and Computation, vol. 187, pp. 176-182, 2007.

[3] H. Silverman, "A class of bounded starlike functions," Internat. J. Math. & Math. Sci. (2nd Series), vol. 17, pp. 249-252, 1994.

[4] P. N. Chichra, "New subclasses of the class of close-to-convex functions," Proceedings of the American Mathematical Society (First Series), vol. 62, pp. 37-43.

[5] D. Mohamad, "On a class of functions whose derivatives map the unit disc into a half plane," Bull. Malaysian Math. Sc. Soc. (2nd Series), vol. 23, pp. 163-171, 2001.

[6] H. Silverman, and E. M. Silvia, "On ╬▒-close-to-convex function," Publ. Math. Debrecen, vol. 49, pp. 532-537, 1996.

[7] T. H. MacGregor, "Function whose derivative has a positive real part," Trans. Amer. Math. Soc., vol. 104, pp. 532-537, 1962.

[8] N. Mohamed, D. Mohamad, and S. S. Cik, "Some results on generalized class of close-to-convex functions," unpublished.