The growth of laguerre matrix polynomials on bounded intervals

✍ Scribed by L. Jódar; J. Sastre

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 371 KB
• Volume: 13
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(00)00090-2

✦ Synopsis

A be a matrix in Crxp such that R&Z) > -l/2 for all the eigenvalues of A and let {fl(A,'/2) (z)} be the normalized sequence of Laguerre matrix polynomials associated with A. In this paier, it is proved that n, (A,1/2) (x) = o(na(A)/z ln'-l(n)) and ni$,A+':/2' (x

uniformly on bounded intervals, where a(A) = max{Re(z); z eigenvalue of A}.