2017
Том 69
№ 9

All Issues

Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function

Bodnar O. V., Zabolotskii N. V.

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Abstract

For entire functions whose zero counting functions are slowly increasing, we establish criteria for the regular growth of their logarithms of moduli and arguments in the metric of $L^p [0, 2π]$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 7, pp 1028-1039.

Citation Example: Bodnar O. V., Zabolotskii N. V. Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function // Ukr. Mat. Zh. - 2010. - 62, № 7. - pp. 885–893.

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