2017
Том 69
№ 9

All Issues

Polynomial Asymptotics of Entire Functions of Finite Order

Borova O. I., Zabolotskii N. V.

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Abstract

We obtain new asymptotic relations for entire functions of finite order with zeros on a ray under the condition of regular growth for the counting function of their zeros. These relations improve the well-known results of Valiron.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 6, pp 873-884.

Citation Example: Borova O. I., Zabolotskii N. V. Polynomial Asymptotics of Entire Functions of Finite Order // Ukr. Mat. Zh. - 2003. - 55, № 6. - pp. 723-732.

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