Geodesic
Double $SO(2,1)$-integrals and formulas for Whittaker functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2012), pp. 56-66

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With the help of some double integral bilinear functionals with homogeneous kernels defined on a pair of representation spaces of the group $SO(2,1)$ we obtain some functional relations for Whittaker functions and calculate the sum of one series of Gauss hypergeometric functions converging to a Whittaker function.
Keywords: Whittaker functions, integral transform.
Mots-clés : group $SO(2,1)$ 
@article{IVM_2012_5_a5,
     author = {I. A. Shilin},
     title = {Double $SO(2,1)$-integrals and formulas for {Whittaker} functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {56--66},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_5_a5/}
}
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I. A. Shilin. Double $SO(2,1)$-integrals and formulas for Whittaker functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2012), pp. 56-66. http://geodesic.mathdoc.fr/item/IVM_2012_5_a5/