Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution

R. M. El-Ashwah, M. K. Aouf, S. M. El-Deeb

Abstract


In this paper we introduce and investigate three new subclasses of \(p\)-valent analytic functions by using the linear operator \(D_{\lambda,p}^m(f*g)(z)\). The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for \((n,\theta)\)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation.

Keywords


Analytic; \(p\)-valent; \((n,\theta)\)-neighborhood; inclusion relations

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References


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DOI: http://dx.doi.org/10.17951/a.2011.65.1.33-48
Data publikacji: 2016-07-25 18:17:31
Data złożenia artykułu: 2016-07-25 17:10:11

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Copyright (c) 2011 R. M. El-Ashwah, M. K. Aouf, S. M. El-Deeb