Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group
Sbornik. Mathematics, Tome 10 (1970) no. 2, pp. 173-179
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We construct elements of the matrix which connects different bases for class I representations of the group $SO(2,1)$. These matrix elements are expressed in terms of Whittaker functions. In this way integral relations are obtained for these and orhte special functions.
Bibliography: 5 titles.
@article{SM_1970_10_2_a2,
author = {N. Ya. Vilenkin and M. A. Shleinikova},
title = {Integral relations for the {Whittaker} functions and the representations of the three-dimensional {Lorentz} group},
journal = {Sbornik. Mathematics},
pages = {173--179},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {1970},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1970_10_2_a2/}
}
TY - JOUR AU - N. Ya. Vilenkin AU - M. A. Shleinikova TI - Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group JO - Sbornik. Mathematics PY - 1970 SP - 173 EP - 179 VL - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1970_10_2_a2/ LA - en ID - SM_1970_10_2_a2 ER -
%0 Journal Article %A N. Ya. Vilenkin %A M. A. Shleinikova %T Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group %J Sbornik. Mathematics %D 1970 %P 173-179 %V 10 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1970_10_2_a2/ %G en %F SM_1970_10_2_a2
N. Ya. Vilenkin; M. A. Shleinikova. Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group. Sbornik. Mathematics, Tome 10 (1970) no. 2, pp. 173-179. http://geodesic.mathdoc.fr/item/SM_1970_10_2_a2/