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On the slow growth of the main characteristics of entire functions

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Abstract

We obtain a necessary and sufficient condition for the slow growth at infinity in terms of the coefficients in the series expansion of an entire function.

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References

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Translated fromMatematicheskie Zametki, Vol. 65, No. 2, pp. 206–214, February, 1999.

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Zabolotskii, N.V., Sheremeta, M.N. On the slow growth of the main characteristics of entire functions. Math Notes 65, 168–174 (1999). https://doi.org/10.1007/BF02679813

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  • DOI: https://doi.org/10.1007/BF02679813

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