Analogues of Whittker's theorem for Laplace-Stieltjes integrals

M. S. Dobushovskyy, M. M. Sheremeta


For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power series.


Laplace-Stieltjes integral, maximum of integrand, Whittaker's theorem

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