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2 Journal of Mathematics and Applications

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Certain subclass of multivalent functions involving the Cho-Kwon-Srivastava operator

Zeng T., Gao Ch-Y., Wang Z-G., Aghalary R.

Journal of Mathematics and Applications

2008

Vol. 30

161-170

In the present paper, we introduce a new subclass S(sup (j)) (sub p, λ) (α; a, c; φ) of multivalent functions involving the Cho-Kwon-Srivastava operator. Such results as inclusion relationships, coefficient estimates and convolution properties for this class are proved. The results presented here would provide extensions of those given in earlier works.

On certain subclasses of close-to-convex and

Wang Z-G., Jiang Y-P.

Journal of Mathematics and Applications

2007

Vol. 29

167-179

In the present paper, the authors introduce two new subclasses S(sup k) (sub sc) (γ, α β) of close-to-convex functions and C(sup k) (sub sc) (γ, α β) of quasi-convex functions with respect to 2k-symmetric conjugate points. The inclusion and subordination relationships, convolution conditions for these classes are provided. The coefficient inequalities, integral representations and sufficient conditions for functions belonging to these classes are also provided.