Graf's Addition Theorem Obtained from $SO(3)$ Contraction
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 227-229
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We show that Graf's addition theorem for Bessel functions is obtained by contraction of the composition formula for $SO(3)$ rotations.
@article{TMF_2001_129_2_a4,
author = {P. Winternitz and K. B. Wolf and G. S. Pogosyan and G. S. Pogosyan and A. N. Sisakyan},
title = {Graf's {Addition} {Theorem} {Obtained} from $SO(3)$ {Contraction}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {227--229},
publisher = {mathdoc},
volume = {129},
number = {2},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a4/}
}
TY - JOUR AU - P. Winternitz AU - K. B. Wolf AU - G. S. Pogosyan AU - G. S. Pogosyan AU - A. N. Sisakyan TI - Graf's Addition Theorem Obtained from $SO(3)$ Contraction JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2001 SP - 227 EP - 229 VL - 129 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a4/ LA - ru ID - TMF_2001_129_2_a4 ER -
%0 Journal Article %A P. Winternitz %A K. B. Wolf %A G. S. Pogosyan %A G. S. Pogosyan %A A. N. Sisakyan %T Graf's Addition Theorem Obtained from $SO(3)$ Contraction %J Teoretičeskaâ i matematičeskaâ fizika %D 2001 %P 227-229 %V 129 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a4/ %G ru %F TMF_2001_129_2_a4
P. Winternitz; K. B. Wolf; G. S. Pogosyan; G. S. Pogosyan; A. N. Sisakyan. Graf's Addition Theorem Obtained from $SO(3)$ Contraction. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 2, pp. 227-229. http://geodesic.mathdoc.fr/item/TMF_2001_129_2_a4/