Geodesic
On the mean values of an analytic function.
Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 149-155.

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Let f(z), $z = re^{iθ}$, 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).
DOI : 10.4064/ap-57-2-149-155
Keywords: analytic function, maximum term, order, type, mean values

G. Srivastava 1 ; Sunita Rani 1

1 
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G. Srivastava; Sunita Rani. On the mean values of an analytic function.. Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 149-155. doi : 10.4064/ap-57-2-149-155. http://geodesic.mathdoc.fr/articles/10.4064/ap-57-2-149-155/

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