Rate of Relative Growth of Orthogonal Polynomials
نویسندگان
چکیده
منابع مشابه
Relative Asymptotics of Orthogonal Polynomials for Perturbed Measures
We survey and present some new results that are related to the behavior of orthogonal polynomials in the plane under small perturbations of the measure of orthogonality. More precisely, we introduce the notion of a polynomially small (PS) perturbation of a measure. Namely, if μ0 ≥ μ1 and {pn(μj , z)}n=0, j = 0, 1, are the associated orthonormal polynomial sequences, then μ0 a PS perturbation of...
متن کاملRelative asymptotic of multiple orthogonal polynomials for Nikishin systems
We prove relative asymptotic for the ratio of two sequences of multiple orthogonal polynomials with respect to Nikishin system of measures. The first Nikishin system N (σ1, . . . , σm) is such that for each k, σk has constant sign on its compact support supp(σk) ⊂ R consisting of an interval e ∆k, on which |σ ′ k| > 0 almost everywhere, and a discrete set without accumulation points in R \ e ∆k...
متن کامل: the effect of sericin levels (silk glue protein) on rate of in vitro maturation, fertilization and culture of sheep oocytes
هدف از آزمایش اول بررسی اثر سطوح مختلف سریسین [0 (control), 0.1, 0.5, 1.0, 2.5 %] افزوده شده به محیط , ivm بر cumulus cell expansion، بلوغ هسته و توسعه متوالی جنین، در گوسفندان نژاد سنجابی در فصل تولید مثلی می باشد. از سرگیری میوز به وسیله خارج شدن اولین پولار بادی اندازه گیری و هم چنین درصد رسیدن جنین های دو سلولی به مرحله کلیواژ و بلاستوسیت نیز به عنوان نشانه ای از میزان شایستگی توسعه اولیه ج...
Remarks on Relative Asymptotics for General Orthogonal Polynomials
Using a nonlinear integral characterization of orthogonal polynomials in the complex plane, we provide a simple method for deducing a weak form of relative asymptotics exterior to the convex hull of the common support of the generating measures. The simplicity of the approach makes it a natural precursor for the presentation of Szegő theory. Dedicated to Guillermo López Lagomasino on the occasi...
متن کاملRelative Asymptotics for Orthogonal Matrix Polynomials with Convergent Recurrence Coefficients
The asymptotic behavior of #n (d;) #n (d:) and Pn (x, d;) P n (x, d:) is studied. Here (#n (.))n are the leading coefficients of the orthonormal matrix polynomials Pn (x, .) with respect to the matrix measures d; and d: which are related by d;(u)= d:(u)+ k=1 Mk$(u&ck), where Mk are positive definite matrices, $ is the Dirac measure and ck lies outside the support of d: for k=1, ..., N. Finally,...
متن کاملذخیره 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: Journal of Mathematical Analysis and Applications
سال: 1993
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1147