Families of Legendre-Sheffer polynomials
In this paper, we introduce families of Legendre-Sheffer polynomials corresponding to two different forms of 2-variable Legendre polynomials. We discuss their special properties and establish a correspondence between the Sheffer and Legendre-Sheffer families. Further, we obtain some important results involving Legendre-Hermite and Legendre-Laguerre polynomials as applications. (C) 2011 Elsevier Ltd. All rights reserved.
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