## A certain connection between starlike and convex functions.(English)Zbl 1064.30008

Summary: We define two certain classes of functions $$S^{\ast}(\alpha,\beta)$$ and $$C(\alpha,\beta)$$ and obtain a certain connection between these classes.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Starlike; Convex
Full Text:

### References:

 [1] M. Nunokawa, S. Owa, H. Saitoh, N.E. Cho and N. Takahashi, Some properties of analytic functions at extremal points for arguments, (submitted). [2] Nunokawa, M., On the order of strongly starlikeness of strongly convex functions, (), 234-237, (7) · Zbl 0793.30007
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