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On the Average Radial Increase of a Certain Class of Integral Functions of Order One and Finite Type


     

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Let z = re = x + iy. We write R(z) = x, I(z) = y. Let f(z) be an integral function and

M (r,f) = max|f(z)|.

We shall say that f(z) is of order one and finite type when

lim log M(r, f)/r < ∞.                                               (1)


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  • On the Average Radial Increase of a Certain Class of Integral Functions of Order One and Finite Type

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Abstract


Let z = re = x + iy. We write R(z) = x, I(z) = y. Let f(z) be an integral function and

M (r,f) = max|f(z)|.

We shall say that f(z) is of order one and finite type when

lim log M(r, f)/r < ∞.                                               (1)