We deal with a family of orthogonal polynomials as perturbed of Chebyshev polynomials of second kind. The second-order differential equation satisfied by any polynomial is obtained and the integral representation of the corresponding canonical form is provided.

Let $u$ be a form and the corresponding Hankel determinants $\Delta_n(u)$ ; suppose that there exists $r\in\mathbb{N}$ such that $\Delta_n(u)\neq 0$ for $0\leq n\leq r$ and
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On the occasion of S. Yakubovich's 50th birthday
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The spectral points of a nonhermitian Toeplitz matrix A, with the dimension N are usually highly sensitive to perturbations. An equivalent statement is that the resol-
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We will present the procedures which are used in web search engines
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We survey some of the variational techniques used in the study of nonlinear elliptic boundary value problems. We start with a discussion about the spectrum of the Dirichlet p-Laplacian. Then we present some basic abstract minimax principles on the existence and the multiplicity of critical points...

Título completo:
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The Riemann-Hilbert problem and the R-linear problem for multiply connected domains in a class of doubly periodic
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Resumo: We will give an overview of the current state of the factorization problem in the case when the matrix function involved is almost periodic (in Bohr sense). Existence of factorization will be discussed along with algorithms of its actual construction. Applications include (but are not...

Structural properties of new classes of analytic functions are described in terms of divided differences. The results are applied to the interpolation and approximation theory, theory of univalent and multivalent functions, and the Chebyshev systems theory .