Analogues of Whittker's theorem for Laplace-Stieltjes integrals
Keywords: Laplace-Stieltjes integral, maximum of integrand, Whittaker's theorem
Published online: 2016-12-30
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.