A limit relationship between Laguerre and Hermite polynomials

Author: Kung-Yu Chen   H. M. Srivastava  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.16, Iss.1, 2005-01, pp. : 75-80

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Abstract

The authors prove a generalization of a limit relationship between the Laguerre and the Hermite polynomials. The demonstration, which is presented in this article in the general case, differs markedly from each of the earlier proofs given for the known special case. Some other limit relationships between classical orthogonal polynomials are also considered. hmsri@uvvm.uvic.ca