Abstract

By means of the subordination, we introduce and investigate classes of multivalent functions with varying argument of coefficients and two fixed points. The results obtained here for each of these classes include coefficients estimates, growth and distortion theorems, radii of starlikeness and convexity, subordination theorems and integral means inequalities. Some consequences of the results for well-known classes of functions are also pointed out.

Keywords: Analytic functions; varying arguments; fixed points; subordination; Hadamard product; integral means inequalities.

MSC: 30C45, 30C50, 30C55

Pages:  201$-$217     

Volume  63 ,  Issue  3 ,  2011