Orthogonal Polynomials with Ratio Asymptotics

نویسندگان

چکیده

برای دانلود رایگان 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

Ratio Asymptotics for Orthogonal Matrix Polynomials with Unbounded Recurrence Coefficients

In this work is presented a study on matrix biorthogonal polynomials sequences that satisfy a nonsymmetric recurrence relation with unbounded coefficients. The ratio asymptotic for this family of matrix biorthogonal polynomials is derived in quite general assumptions. It is considered some illustrative examples.

متن کامل

Zeros and ratio asymptotics for matrix orthogonal polynomials

Ratio asymptotics for matrix orthogonal polynomials with recurrence coefficients An and Bn having limits A and B respectively (the matrix Nevai class) were obtained by Durán. In the present paper we obtain an alternative description of the limiting ratio. We generalize it to recurrence coefficients which are asymptotically periodic with higher periodicity, or which are slowly varying in functio...

متن کامل

Uniform Asymptotics for Orthogonal Polynomials

We consider asymptotics of orthogonal polynomials with respect to a weight e ?Q(x) dx on R, where either Q(x) is a polynomial of even order with positive leading coeecient, or Q(x) = NV (x), where V (x) is real analytic on R and grows suuciently rapidly as jxj ! 1. We formulate the orthogonal polynomial problem as a Riemann-Hilbert problem following the work of Fokas, Its and Kitaev. We employ ...

متن کامل

Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures

Let be a finite positive Borel measure with compact support consisting of an interval [c, d] ⊂ R plus a set of isolated points in R\[c, d], such that ′> 0 almost everywhere on [c, d]. Let {w2n}, n ∈ Z+, be a sequence of polynomials, degw2n 2n, with real coefficients whose zeros lie outside the smallest interval containing the support of . We prove ratio and relative asymptotics of sequences of ...

متن کامل

Comparative Asymptotics for Perturbed Orthogonal Polynomials

Let {Φn}n∈N0 and {Φ̃n}n∈N0 be such systems of orthonormal polynomials on the unit circle that the recurrence coefficients of the perturbed polynomials Φ̃n behave asymptotically like those of Φn. We give, under weak assumptions on the system {Φn}n∈N0 and the perturbations, comparative asymptotics as for Φ̃n(z)/Φ ∗ n(z) etc., Φ ∗ n(z) := z Φ̄n( 1 z ), on the open unit disk and on the circumference ma...

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: Proceedings of the American Mathematical Society

سال: 1992

ISSN: 0002-9939

DOI: 10.2307/2159673