Analogues of Whittker's theorem for Laplace-Stieltjes integrals

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.

Bibliographic Details
Main Authors: M.S. Dobushovskyy, M.M. Sheremeta
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2016-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1430