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Some special functions related to unimodular pseudo-orthogonal groups

Alexander Nizhnikov; Ilya Shilin — 2011

Banach Center Publications

We obtain some matrix elements of basis transformations in a representation space of the unimodular pseudo-orthogonal group. Using these elements, we derive some formulas for special functions.

SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions

Shilin, Ilya — 2012

Mathematica Balkanica New Series

MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40 The paper contains some new formulas involving the Whittaker functions and arising as the values of some double integrals, which are invariant with respect to the representation of the group SO(2; 1).

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