Radius Constants for Functions with the Prescribed Coefficient Bounds

Om P. Ahuja, Sumit Nagpal and V. Ravichandran

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

Abstract:

For an analytic univalent function in the unit disk, it is well-known that for . But the inequality does not imply the univalence of . This motivated several authors to determine various radii constants associated with the analytic functions having prescribed coefficient bounds. In this paper, a survey of the related work is presented for analytic and harmonic mappings. In addition, we establish a coefficient inequality for sense-preserving harmonic functions to compute the bounds for the radius of univalence, radius of full starlikeness/convexity of order   ( ) for functions with prescribed coefficient bound on the analytic part.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:454152

DOI: 10.1155/2014/454152

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