Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {N. Ya. Vilenkin and M. A. Shleinikova},
     title = {Integral relations for the {Whittaker} functions and the representations of the three-dimensional {Lorentz} group},
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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/

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[2] N. Ya. Vilenkin, “Kontinualnye teoremy slozheniya dlya gipergeometricheskoi funktsii”, Matem. cb., 65(107) (1964), 28–46 | MR | Zbl

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[5] F. Oberhettinger, Tabellen zur Fourier transformation, Springer-Verlag, 1957 | MR | Zbl