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Displaying similar documents to “An extension of Stolarsky means.”

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G. S. Srivastava, Sunita Rani (1992)

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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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In the paper the asymptotics for Dirichlet polynomials associated to certain cusp forms are obtained.

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