We use a numerical-analytic technique to construct sequence of successive approximations the solution system fractional differential equations, subject Dirichlet boundary conditions. prove uniform convergence limit function, which is unique value problem under consideration, and give necessary sufficient conditions for existence solutions. The obtained theoretical results are confirmed by model...

Abstract This paper gives moduli of analytic classification for parabolic Dulac germs (that is, almost regular germs). appear as first return maps hyperbolic polycycles. Their are given by a sequence Écalle–Voronin -type diffeomorphisms. The result is stated in broader class generalized having power- logarithmic asymptotic expansions. Bibliography: 23 titles.

Vector sequences which are stationary with respect to polynomial hypergroups arise in various fields, such as stochastic processes and difference equations. In this paper, we discuss analytic properties of these sequences, namely the representation and complexification of the vector sequence.

BACKGROUND Recent studies on the variants in duplicated human alpha globin genes (HBA2 and HBA1) actively target the α-globin gene as molecular modulators for the treatment of β-thalassemia major. Identification of the exact position of variant in HBA1, HBA2 or its patchworks is mandatory to support the therapeutic aims in β-thalassemia major, by identifying specific modulators for the reactiva...

For a function f that is piecewise analytic on quasi-smooth arc $$\mathcal {L}$$ and any $$0<\sigma <1$$ we construct sequence of polynomials converge at rate $$e^{-n^{\sigma }}$$ each point analyticity are close to the best polynomial approximants whole . Moreover, give examples when such can be constructed for $$\sigma =1$$

For the physical aspects of deformation quantization we refer to the expository and survey papers [4] and [10]. Our objective is to initiate a version of global theory of quantization deformation in the category of complex analytic spaces in the same lines as the theory of (commutative) deformation. The goal of inifinitesimal theory is to do few steps towards construction of a star-product in t...

It is shown that an Orlicz sequence space hM admits an equivalent analytic renorming if and only if it is either isomorphic to l2n or isomorphically polyhedral. As a consequence, we show that there exists a separable Banach space admitting an equivalent C∞-Fréchet norm, but no equivalent analytic norm. In this note, we denote by hM as usual the subspace of an Orlicz sequence space lM generated ...