On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives

Liu Mingsheng

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-9

Abstract:

Let H be the class of functions f ( z ) of the form f ( z ) = z + ∑   K = 2   +   ∞ a   k   z   k , which are analytic in the unit disk U = { z ; | z | < 1 } . In this paper, we introduce a new subclass B λ ( μ , α , Ï ) of H and study its inclusion relations, the condition of univalency, and covering theorem. The results obtained include the related results of some authors as their special case. We also get some new results.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:754803

DOI: 10.1155/S0161171202007202

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