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Regularly Increasing Entire Dirichlet Series
Authors:Filevich  P. V.  Sheremeta  M. N.
Affiliation:(1) I. Franko Lvov National University, Ukaine
Abstract:
For entire Dirichlet series, we establish conditions on its coefficients and exponents under which the logarithms of the maximal term and of the maximum of the modulus are regularly varying functions of order rgr isin [1, + infin) and the central exponent is a regularly varying function of order rgr – 1.
Keywords:entire Dirichlet series  slowly varying function  regularly varying function
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