SHEREMETA, MYROSLAV. Asymptotical Behaviour of Laplace-Stiltjes Integrals. VNTL Publishers, 2010. ISBN 9668849221, 150 x 225 mm, 212 pp., hand-made cloth binding.
The monograph is devoted to investigation of asymptotic properties of positive functions represented by the Laplace-Stiltjes integrals. Important role of such integrals is well-known in mathematical and complex analysis, probability theory, number theory and in other regions of mathematics. Since the Laplace-Stieltjes integrals are direct generalization of the Laplace integral and the Dirichlet series with nonnegative coefficients and exponents, the investigation of the asymptotic properties of the Laplace-Stieltjes integrals is necessary and actual. The book is intended for graduate mathematical students, post-graduates and experts in the mathematical analysis and its applications. The necessary mathematical background for reading the monograph is a university course of calculus. Mathematical Studies: Monograph Series. Volume 15.