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Functional Analysis Valencia 2010
June 7-12, 2010
Universidad de Valencia, Universidad Politécnica de Valencia
Valencia, Spain

Organizers
Scientific Committee: Richard Aron (Kent State University, USA), José Bonet (Universidad Politécnica de Valencia, Spain), Bernardo Cascales (Universidad de Murcia, Spain), Joan Cerdá (Universidad de Barcelona, Spain), Reinhold Meise (Heinrich-Heine-Universität Düsseldorf, Germany), Manuel Maestre (Universidad de Valencia, Spain), Jean Schmets (Liège, Belgium), Ignacio Zalduendo (Universidad Di Tella, Buenos Aires, Argentina), Organizing Committee: José Bonet (Universidad Politécnica de Valencia, Spain), Carmen Fernández (Universidad de Valencia, Spain), Antonio Galbis (Universidad de Valencia, Spain), Domingo García (Universidad de Valencia, Spain), Manuel López Pellicer (Universidad Politécnica de Valencia, Spain), Manuel Maestre (Universidad de Valencia, Spain), Felix Martínez (Universidad Politécnica de Valencia, Spain), Pablo Sevilla (Universidad Politécnica de Valencia, Spain).

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On a Certain Subclass of Analytic Functions Based on Salagean and Ruscheweyh Differential Operators
by
Shahram Najafzadeh
Department of Mathematics, University of Maragheh, Maragheh, Iran

On a certain subclass of analytic functions based on Salagean and Ruscheweyh differential operators

On a certain subclass of analytic functions based on Salagean and Ruscheweyh differential operators

Sh. Najafzadeh

Department of Mathematics
University of Maragheh
Maragheh, Amir Kabir Street
Iran

The purpose of the present paper is to introduce a new subclass of holomorphic univalent functions with negative coefficients involving the Salagean and Ruscheweyh differential operators. The various results investigated in this paper include coefficient bounds, extreme points, radii of starlikeness , convexity and close–to–convexity.

References

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G. S. Salagean. Subclass of univalent functions in Complex Analysis, 5th Romanian-Finnish Seminar 1013, (1983), 362-372.

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P. L. Duren, Univalent Functions, Grundelheren der Mathematischen Wissenchaften 259, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, (1983).

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St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc, 49, (1975), 109-115.

Date received: December 29, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayz-10.