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Summation formulae for the Legendre polynomialsKeywords: 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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