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The Addition Formula for Continuousq-Legendre Polynomials and Associated Spherical Elements on the $SU(2)$ Quantum Group Related to Askey–Wilson Polynomials

SIAM Journal on Mathematical Analysis, 1994
The paper is in continuation of the ongoing study on the interpretation of special functions of \(q\)-hypergeometric types on quantum groups. The author interprets a three parameter, of which one is discrete, family of Askey-Wilson polynomials as associated spherical elements on the \(\text{SU}_q (2)\) quantum group.
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