منابع مشابه
Matrix approach to Appell polynomials
In the last years the Appell polynomials, named after Paul Émile Appell which introduced them in 1880 [1], have gained renewed interest and has been studied by several authors. In particular, some new characterizations of Appell polynomials themselves through new approaches have been considered. To quote some of them we mention, for instance, the novel approach developed in [5], which makes use...
متن کاملA matrix approach to polynomials
We present a matrix formalism to study univariate polynomials. The structure of this formalism is beautiful enough to be worth seeing on its own, yet we give (another) motivation to this by presenting three new theorems and applying the formalism to give new proofs of some known results. © 2002 Elsevier Science Inc. All rights reserved. AMS classification: 11C08; 15A36; 11B68; 11B73
متن کاملMatrix Approach to Frobenius-Euler Polynomials
In the last two years Frobenius-Euler polynomials have gained renewed interest and were studied by several authors. This paper presents a novel approach to these polynomials by treating them as Appell polynomials. This allows to apply an elementary matrix representation based on a nilpotent creation matrix for proving some of the main properties of Frobenius-Euler polynomials in a straightforwa...
متن کامل2 Rectangular Matrix Orthogonal Polynomials
Classical orthogonal polynomials and matrix polynomials being orthogonal with respect to some Hermitean positive deenite matrix of measures share several properties , e.g., three term recurrencies, Christooel{Darboux formulas; there are connections to the triangular decomposition of the (inverse) moment matrix and to eigenvalue{problems for the banded matrix of recurrence coeecients. Also, a co...
متن کاملOn the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues
Consider an n × <span style="fon...
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: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2004.07.011