Abstract
We present a generalization of the Lindelöf theorem on conditions that should be imposed on the coefficients of the Taylor series of an entire transcendental function ƒ in order that the relation \(ln M_f (r) - \tau r^\rho , r \to \infty , M_f (r) = \max \left\{ {\left| {f(r)} \right|:|z| = r} \right\}\), be satisfied.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1177–1192, September, 1998.
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Zabolotskii, M.V., Sheremeta, M.N. A generalization of the Lindelöf theorem. Ukr Math J 50, 1346–1364 (1998). https://doi.org/10.1007/BF02525242
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DOI: https://doi.org/10.1007/BF02525242