East Asian mathematical journal
- Volume 18 Issue 1
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- Pages.1-13
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- 2002
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
A STARLIKENESS CONDITION ASSOCIATED WITH THE RUSCHEWEYH DERIVATIVE
- Li, Jian-Lin (Research Center for Science Xi'an Jiaotong University, China) ;
- Srivastava, H.M. (Department of Mathematics and Statistics University of Victoria, Canada)
- Published : 2002.06.27
Abstract
Some Miller-Mocanu type arguments are used here in order to establish a general starlikeness condition involving the familiar Ruscheweyh derivative. Relevant connections with the various known starlikeness conditions are also indicated. This paper concludes with several remarks and observations in regard especially to the nonsharpness of the main starlike condition presented here.
Keywords
- analytic functions;
- starlike functions;
- Ruscheweyh derivative;
- Hadamard product(or convolution);
- Jack's lemma;
- Gauss hypergeometric function