Quantizations of Continued Fractions

We introduce a four-parameter deformation of continued fractions, which we call \( U \)-deformation. We study some particular cases and compare them with the q-deformation of continued fractions introduce recently by Morier-Genoud and Ovsienko.

Saved in:

Bibliographic Details
Published in	arXiv.org
Main Authors	Uludağ, A Muhammed, Esra Ünal Yilmaz
Format	Paper
Language	English
Published	Ithaca Cornell University Library, arXiv.org 06.07.2022
Subjects	Deformation
Online Access	Get full text

Cover

Loading…

More Information
Summary:	We introduce a four-parameter deformation of continued fractions, which we call \( U \)-deformation. We study some particular cases and compare them with the q-deformation of continued fractions introduce recently by Morier-Genoud and Ovsienko.
ISSN:	2331-8422