Analogues of Whittker's theorem for Laplace-Stieltjes integrals

  • M.S. Dobushovskyy Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • M.M. Sheremeta Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
https://doi.org/10.15330/cmp.8.2.239-250
Keywords: Laplace-Stieltjes integral, maximum of integrand, Whittaker's theorem
Published online: 2016-12-30

Abstract


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.
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How to Cite
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Dobushovskyy M., Sheremeta M. Analogues of Whittker’s Theorem for Laplace-Stieltjes Integrals. Carpathian Math. Publ. 2016, 8 (2), 239-250.