Open Access
January 2009 Differential subordination and superordination for multivalent functions
OM P. Ahuja, G. Murugusundaramoorthy, S. Sivasubramanian
Author Affiliations +
SUT J. Math. 45(1): 43-57 (January 2009). DOI: 10.55937/sut/1248895176

Abstract

In the present paper, the authors derive differential sandwich theorems involving convolution product for certain subclasses of multivalent normalized analytic functions in the open unit disk. The results in this paper generalize many earlier results in the literature.

Acknowledgements

The authors would like to thank the referee and the editor for their valuable suggestions.

Citation

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OM P. Ahuja. G. Murugusundaramoorthy. S. Sivasubramanian. "Differential subordination and superordination for multivalent functions." SUT J. Math. 45 (1) 43 - 57, January 2009. https://doi.org/10.55937/sut/1248895176

Information

Received: 16 July 2008; Revised: 8 January 2009; Published: January 2009
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1248895176

Subjects:
Primary: 30C45 , 30C80

Keywords: analytic functions , convolution product , Differential subordinations , Differential superordinations , dominant , multivalent functions , Subordinant

Rights: Copyright © 2009 Tokyo University of Science

Vol.45 • No. 1 • January 2009
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