The growth of laguerre matrix polynomials on bounded intervals Original Research Article

Let A be a matrix in View the MathML sourcer×r such that View the MathML source for all the eigenvalues of A and let View the MathML source be the normalized sequence of Laguerre matrix polynomials associated with A. In this paper, it is proved that View the MathML source and View the MathML source uniformly on bounded intervals, where α(A) = max{Re(z); z eigenvalue of A}.