Little and big q-Jacobi polynomials and the Askey–Wilson algebra

Little and big q-Jacobi polynomials and the Askey–Wilson algebra
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DOI:
10.1007/s11139-018-0080-1
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发表时间:
2018-06
期刊:
The Ramanujan Journal
影响因子:
--
通讯作者:
P. Baseilhac;X. Martín;L. Vinet;A. Zhedanov
P. Baseilhac;X. Martín;L. Vinet;A. Zhedanov
中科院分区:
其他
文献类型:
--
作者:
P. Baseilhac;X. Martín;L. Vinet;A. Zhedanov

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The little and bigq-Jacobi polynomials are shown to arise as basis vectors for representations of the Askey–Wilson algebra. The operators that these polynomials respectively diagonalize are identified within the Askey–Wilson algebra generated by twisted primitive elements of. The littleq-Jacobi operator and a tridiagonalization of it are shown to realize the equitable embedding of the Askey–Wilson algebra into.