On recurrence coefficients of Steklov measures

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the recurrence coefficients of semiclassical Laguerre polynomials

It is known [L. Boelen, W. Van Assche, Proc. Amer. Math. Soc. 138 (2010), 1317–1331] that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semiclassical extension of the Laguerre weight satisfy a discrete Painlevé equation. By using the Toda system for the recurrence coefficients we show that this discrete equation can be obtained from a Bäcklu...

متن کامل

Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients

In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the ...

متن کامل

On recurrence coefficients for rapidly decreasing exponential weights

Let, for example, W (x) = exp expk 1 x , x 2 [ 1; 1] where > 0, k 1; and expk = exp (exp (::: exp ())) denotes the kth iterated exponential. Let fAng denote the recurrence coe¢ cients in the recurrence relation xpn (x) = Anpn+1 (x) +An 1pn 1 (x) for the orthonormal polynomials fpng associated with W . We prove that as n!1; 1 2 An = 1 4 (logk n) 1= (1 + o (1)) ; where logk = log (log (::: log ()...

متن کامل

Nodal Sets of Steklov

We study the nodal set of the Steklov eigenfunctions on the boundary of a smooth bounded domain in Rn – the eigenfunctions of the Dirichlet-to-Neumann map Λ. For a bounded Lipschitz domain Ω ⊂ Rn, this map associates to each function u defined on the boundary ∂Ω, the normal derivative of the harmonic function on Ω with boundary data u. Under the assumption that the domain Ω is C2, we prove a do...

متن کامل

On Steklov-Neumann boundary value problems

We will study a class of Steklov-Neumann boundary value problems for some quasilinear elliptic equations. We obtain result ensuring the existence of solutions when resonance and nonresonance conditions occur. The result was obtained by using variational arguments.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Collectanea Mathematica

سال: 2017

ISSN: 0010-0757,2038-4815

DOI: 10.1007/s13348-017-0203-9