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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |