Properties of new classes of multivalent analytic functions

Authors

  • Jacek Dziok Institute of Mathematics, University of Rzeszów, 35-310 Rzeszów, Poland Author

Keywords:

Analytic functions, varying arguments, fixed points, subordination, Hadamard product, integral means inequalities

Subjects:

30C45, 30C50, 30C55

Abstract

By means of the subordination, we introduce and investigateclasses of multivalent functions with varying argument ofcoefficients and two fixed points. The results obtained here foreach of these classes include coefficients estimates, growth anddistortion theorems, radii of starlikeness and convexity,subordination theorems and integral means inequalities. Someconsequences of the results for well-known classes of functionsare also pointed out.

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Published

2011-07-15