Growth along a ray, distribution of the zeros of an entire function of finite order with respect to the argument, and a uniqueness theorem

A. F. Grishin; M. L. Sodin

doi:10.1007/BF02209172

Growth along a ray, distribution of the zeros of an entire function of finite order with respect to the argument, and a uniqueness theorem

A. F. Grishin, M. L. Sodin

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

For an entire function f of normal type and order ρ > 0 the asymptotic behavior of the quantity {Mathematical expression} and its connection with the distribution of the zeros of the function f with respect to the arguments are investigated.

Original language	English
Pages (from-to)	1269-1279
Number of pages	11
Journal	Journal of Soviet Mathematics
Volume	49
Issue number	6
DOIs	https://doi.org/10.1007/BF02209172
State	Published - May 1990

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title = "Growth along a ray, distribution of the zeros of an entire function of finite order with respect to the argument, and a uniqueness theorem",

abstract = "For an entire function f of normal type and order ρ > 0 the asymptotic behavior of the quantity {Mathematical expression} and its connection with the distribution of the zeros of the function f with respect to the arguments are investigated.",

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Growth along a ray, distribution of the zeros of an entire function of finite order with respect to the argument, and a uniqueness theorem

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