N. P. Volchkova, Vit. V. Volchkov, “Characterization of generalized periodic vector fields on hyperbolic space”, Chelyab. Fiz.-Mat. Zh., 2022, Volume 7, Issue 2,Pages <nobr>139

Mathematics

Characterization of generalized periodic vector fields on hyperbolic space

N. P. Volchkova^a, Vit. V. Volchkov^b

^a Donetsk National Technical University, Donetsk
^b Donetsk National University, Donetsk

Abstract: We study vector fields which have zero flux through every sphere of fixed radius in a ball on a real hyperbolic space. For fields in such classes a description in the form of a series in special functions is obtained.

Keywords: vector field, hyperbolic space, zero spherical mean, spherical harmonic, Horn hypergeometric series.

UDC: 517.588

Received: 03.02.2022
Revised: 11.04.2022

DOI: 10.47475/2500-0101-2022-17201