## Some subordination criteria for analytic functions.(English)Zbl 1162.30312

Motivated by the work of R. Aghalary and J. M. Jahangiri [Int. J. Math. Math. Sci. 2003, No. 32, 2053–2059 (2003; Zbl 1022.30010)] the authors consider a general problem involving subordination criteria. A Lemma given earlier by S. S. Miller and P. T. Mocanu [Mich. Math. J. 32, 185–195 (1985; Zbl 0575.30019)] is used to derive the desired result.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30C99 Geometric function theory

### Keywords:

subordination; analytic functions; convexity

### Citations:

Zbl 1022.30010; Zbl 0575.30019