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Double SO(2, 1)-integrals and formulas for Whittaker functions

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Abstract

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.

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Authors and Affiliations

  1. Sholokhov Moscow State University for the Humanities, 16 ul. Verkhnyaya Radishchevskaya 16, Moscow, 109240, Russia

    I. A. Shilin

  2. Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993, Russia

    I. A. Shilin

Authors
  1. I. A. Shilin
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Correspondence to I. A. Shilin.

Additional information

Original Russian Text © I.A. Shilin, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 5, pp. 56–66.

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Shilin, I.A. Double SO(2, 1)-integrals and formulas for Whittaker functions. Russ Math. 56, 47–56 (2012). https://doi.org/10.3103/S1066369X12050064

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  • DOI: https://doi.org/10.3103/S1066369X12050064

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