ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXXI, 1 (2012)
p. 127 - 139

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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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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