On the asymptotics of Laguerre matrix polynomials for large x and n

This work deals with the asymptotics of normalized Laguerre matrix polynomials of a complex matrix parameter for n / x = o ( 1 ) and x / n = O ( 1 ) as n → ∞ .

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Bibliographic Details
Published in:Applied mathematics letters 2006-08, Vol.19 (8), p.721-727
Main Authors: Sastre, J., Defez, E.
Format: Article
Language:English
Subjects:
Asymptotic expression
Exact sciences and technology
Laguerre matrix polynomial
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
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Description
Summary:This work deals with the asymptotics of normalized Laguerre matrix polynomials of a complex matrix parameter for n / x = o ( 1 ) and x / n = O ( 1 ) as n → ∞ .
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2005.10.003