Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 1, pp. 127-139
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S. Khan; A. A. Al-Gonah; S. Khan; A. A. Al-Gonah. Summation formulae for the Legendre polynomials. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 1, pp. 127-139. http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a11/
@article{AMUC_2012_81_1_a11,
author = {S. Khan and A. A. Al-Gonah and S. Khan and A. A. Al-Gonah},
title = { Summation formulae for the {Legendre} polynomials},
journal = {Acta mathematica Universitatis Comenianae},
pages = {127--139},
year = {2012},
volume = {81},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a11/}
}
TY - JOUR
AU - S. Khan
AU - A. A. Al-Gonah
AU - S. Khan
AU - A. A. Al-Gonah
TI - Summation formulae for the Legendre polynomials
JO - Acta mathematica Universitatis Comenianae
PY - 2012
SP - 127
EP - 139
VL - 81
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a11/
ID - AMUC_2012_81_1_a11
ER -
%0 Journal Article
%A S. Khan
%A A. A. Al-Gonah
%A S. Khan
%A A. A. Al-Gonah
%T Summation formulae for the Legendre polynomials
%J Acta mathematica Universitatis Comenianae
%D 2012
%P 127-139
%V 81
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2012_81_1_a11/
%F AMUC_2012_81_1_a11
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.
