Representations of Group of Motions of the Pseudo-Euclidean Plane and the Bessel Functions
Abstract
Many properties of Bessel functions with integer indices are related to the group of motions of the Euclidean plane. The replacement of the compact subgroup of Euclidean rotations by a noncompact subgroup of hyperbolic rotations and the proposed construction of representations lead to the study of the group properties of Bessel functions with arbitrary indices. The connections of Bessel functions with other special functions, most frequently encountered in applications: Hankel, MacDonald, Neumann, Euler Γ-functions and Β-functions, are found.
About the Authors
O. A. Dubovik
Surgut State University
Russian Federation
Russian Federation
A. O. Dubovik
Surgut State University
Russian Federation
Russian Federation
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Review
For citations:
Dubovik O.A., Dubovik A.O. Representations of Group of Motions of the Pseudo-Euclidean Plane and the Bessel Functions. Proceedings in Cybernetics. 2018;(3 (31)):51-57. (In Russ.)
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