Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2005
• Автор: Groza, V.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2005
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/209344
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Representations of the Quantum Algebra suq(1,1) and Discrete q-Ultraspherical Polynomials / V. Groza // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 7 назв. — англ.

We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra suq(1,1). Spectra and eigenfunctions of these operators are found explicitly. These eigenfunctions, when normalized, form an orthonormal basis i...