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Summation formulae for the Legendre polynomials
S. Khan and A. A. Al-Gonah
Received: September 29, 2010; Accepted: January 9, 2012
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.
Keywords: Legendre polynomials; Generating functions; Summation formulae; Hermite-Legendre polynomials.
AMS Subject classification: Primary: 33B10, 33C45, 33C47
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