The Journal of the Indian Mathematical Society

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On the Distribution of the Zeros of an Entire Function


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1 University of Wisconsin, Madison, Wisconsin, United States
     

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The following brief note was suggested by the problem of relating the order ρ and type τ of an entire function f(z) to the distribution function n(x) = {number of zeros of f in

| z | < x}. It is known that [Titchmarsh, 2, p. 249] :


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  • On the Distribution of the Zeros of an Entire Function

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Authors

R. Creighton Buck
University of Wisconsin, Madison, Wisconsin, United States

Abstract


The following brief note was suggested by the problem of relating the order ρ and type τ of an entire function f(z) to the distribution function n(x) = {number of zeros of f in

| z | < x}. It is known that [Titchmarsh, 2, p. 249] :