For a regularly converging-in-C series A (z)=∑ n= 1∞ anf (λ nz), where f is an entire
transcendental function, the asymptotic behavior of the function M f− 1 (MA (r)), where M f …

MM Sheremeta ON THE GROWTH OF SERIES IN SYSTEMS OF FUNCTIONS AND
LAPLACE-STIELTJES TYPE INTEGRALS 1. Introduction. Let f(z) = Page 1 Математичнi Студiї …

Abstract Let $ F (s)=\sum\limits_ {n= 1}^{\infty} a_n\exp\{s\lambda_n\} $ and $ F_j
(s)=\sum\limits_ {n= 1}^{\infty} a_ {n, j}\exp\{s\lambda_n\}, $$ j=\overline {1, p}, $ be Dirichlet …

Suppose that a power series $ A (z)=\sum_ {n= 0}^{\infty} a_n z^{n} $ has the radius of
convergence $ R [A]\in [1,+\infty] $. For a heterogeneous differential equation $$ z^ 2 …

Abstract The Banach and Fr\'{e} chet spaces of series $ A (z)=\sum_ {n= 1}^{\infty} a_nf
(\lambda_nz) $ regularly converging in ${\mathbb C} $, where $ f $ is an entire …

For the Dirichlet series F (s)=∑ n= 1∞ fn exp {s λ n}, which is the Hadamard composition of
the genus m of similar Dirichlet series F j (s) with the same exponents, the growth with …

Abstract Let $(\lambda_n) $ be a positive sequence increasing to $+\infty $, $ m\ge2 $ and
Dirichlet series $ F_j (s)=\sum\nolimits_ {n= 0}^{\infty} a_ {n, j}\exp\{s\lambda_n\} $$(j= 1 …

We investigate the spaces of Laplace–Stieltjes integrals I σ=∫ 0∞ fxe xσ dF x, σ∈ ℝ, F is a
nonnegative nondecreasing unbounded function right continuous on [0,+∞), and f is a real …

For an entire transcendental function $ f $ and a sequence $(\lambda_n) $ of positive
numbers increa\-sing to $+\infty $ a series $ A (z)=\sum_ {n= 1}^{\infty} a_nf (\lambda_n z) …

MM Sheremeta PROPERTIES OF LAPLACE-STIELTJES-TYPE INTEGRALS I dedicate to
the memory of my first graduate student BV Vynny Page 1 Математичнi Студiї. Т.60, №2 …