Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 321-330
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N. N. Beloozerov. Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials. Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 321-330. http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a2/
@article{MZM_1976_20_3_a2,
author = {N. N. Beloozerov},
title = {Addition theorems for {Legendre} functions as corollaries of an addition theorem for {Gegenbauer} polynomials},
journal = {Matemati\v{c}eskie zametki},
pages = {321--330},
year = {1976},
volume = {20},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a2/}
}
TY - JOUR
AU - N. N. Beloozerov
TI - Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials
JO - Matematičeskie zametki
PY - 1976
SP - 321
EP - 330
VL - 20
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a2/
LA - ru
ID - MZM_1976_20_3_a2
ER -
%0 Journal Article
%A N. N. Beloozerov
%T Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials
%J Matematičeskie zametki
%D 1976
%P 321-330
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a2/
%G ru
%F MZM_1976_20_3_a2
Proofs are given for addition theorems for Legendre functions with arbitrary upper and lower indices, based solely on an addition theorem for Gegenbauer polynomials. New versions of these and other similar theorems are given, both in the form of sums and of integrals.
