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1: 18.33 Polynomials Orthogonal on the Unit Circle
§18.33(v) Biorthogonal Polynomials on the Unit Circle
See Al-Salam and Ismail (1994) for special biorthogonal rational functions on the unit circle.
2: 31.9 Orthogonality
and the integration paths 1 , 2 are Pochhammer double-loop contours encircling distinct pairs of singularities { 0 , 1 } , { 0 , a } , { 1 , a } . …
3: Bibliography I
  • M. E. H. Ismail and D. R. Masson (1994) q -Hermite polynomials, biorthogonal rational functions, and q -beta integrals. Trans. Amer. Math. Soc. 346 (1), pp. 63–116.
  • 4: Bibliography
  • W. A. Al-Salam and M. E. H. Ismail (1994) A q -beta integral on the unit circle and some biorthogonal rational functions. Proc. Amer. Math. Soc. 121 (2), pp. 553–561.