Certain Subclasses of Starlike Functions of Complex Order Involving Generalized Hypergeometric Functions

G. Murugusundaramoorthy and N. Magesh

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-12

Abstract:

Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class . In particular, we obtain integral means inequalities for the function that belongs to the class in the unit disc.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:178605

DOI: 10.1155/2010/178605

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