Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Faustino, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149357
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) / N. Faustino // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 17 назв. — англ.

Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries.