A. I. Nizhnikov, I. A. Shilin, “On two formulas for Macdonald functions and their group-theoretical sense”, Chebyshevskii Sb., 2021, Volume 22, Issue 1,Pages <nobr>225

On two formulas for Macdonald functions and their group-theoretical sense

A. I. Nizhnikov^a, I. A. Shilin^ab

^a Moscow State Pedagogical University (Moscow)
^b National Research University MPEI (Moscow)

Abstract: Two formulas for Macdonald functions (which are a widely known in mathematics and applications particular case of cylinder functions) are obtained by using some integral bilinear functionals defined on a pair of representation spaces or a square of these spaces.

Keywords: Macdonald functions, three-dimensional Lorentz group.

UDC: 517.444, 517.588

Received: 04.11.2020
Accepted: 21.02.2021

DOI: 10.22405/2226-8383-2018-22-1-225-233