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Summation formulae for the Legendre polynomials

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Author(s): S. Khan | A. A. Al-Gonah

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 1;
Start page: 127;
Date: 2012;
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Keywords: Legendre polynomials | Generating functions | Summation formulae | Hermite-Legendre polynomials

ABSTRACT
In this paper, summation formulae for the 2-variable Legendre polynomials in terms of certain multi-variable special polynomials are derived. Several summation formulae for the classical Legendre polynomials are also obtained as applications. Further, Hermite-Legendre polynomials are introduced and summation formulae for these polynomials are also established.
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