## The associated Askey-Wilson polynomials

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- by Mourad E. H. Ismail and Mizan Rahman PDF
- Trans. Amer. Math. Soc.
**328**(1991), 201-237 Request permission

## Abstract:

We derive some contiguous relations for very well-poised $_8{\phi _7}$ series and use them to construct two linearly independent solutions of the three-term recurrence relation of the associated Askey-Wilson polynomials. We then use these solutions to find explicit representations of two families of associated Askey-Wilson polynomials. We identify the corresponding continued fractions as quotients of two very well-poised $_8{\phi _7}$ series and find the weight functions.## References

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## Additional Information

- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**328**(1991), 201-237 - MSC: Primary 33C50; Secondary 42C05
- DOI: https://doi.org/10.1090/S0002-9947-1991-1013333-4
- MathSciNet review: 1013333