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On the mean values of an analytic function.

G. S. SrivastavaSunita Rani — 1992

Annales Polonici Mathematici

Let f(z), z = r e i θ , be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values I δ ( r ) and the iterated mean values N δ , k ( r ) of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).

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