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1: 18.27 q -Hahn Class
From Big q -Jacobi to Jacobi
From Big q -Jacobi to Little q -Jacobi
From Little q -Jacobi to Jacobi
From Little q -Laguerre to Laguerre
Limit Relations
2: 18.21 Hahn Class: Interrelations
§18.21(ii) Limit Relations and Special Cases
3: 18.7 Interrelations and Limit Relations
§18.7 Interrelations and Limit Relations
§18.7(iii) Limit Relations
4: 18.19 Hahn Class: Definitions
In addition to the limit relations in §18.7(iii) there are limit relations involving the further families in the Askey scheme, see §§18.21(ii) and 18.26(ii). …
5: 18.26 Wilson Class: Continued
§18.26(ii) Limit Relations
6: 18.28 Askey–Wilson Class
§18.28(x) Limit Relations
7: 17.4 Basic Hypergeometric Functions
17.4.2 lim q 1 ϕ s r + 1 ( q a 0 , q a 1 , , q a r q b 1 , , q b s ; q , ( q 1 ) s r z ) = F s r + 1 ( a 0 , a 1 , , a r b 1 , , b s ; z ) .
8: Bibliography C
  • F. Calogero (1978) Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomial L n α ( x )  as the index α  and limiting formula relating Laguerre polynomials of large index and large argument to Hermite polynomials. Lett. Nuovo Cimento (2) 23 (3), pp. 101–102.
  • 9: Errata
  • Equation (17.4.2)
    17.4.2 lim q 1 ϕ s r + 1 ( q a 0 , q a 1 , , q a r q b 1 , , q b s ; q , ( q 1 ) s r z ) = F s r + 1 ( a 0 , a 1 , , a r b 1 , , b s ; z )

    This limit relation, which was previously accurate for ϕ r r + 1 , has been updated to be accurate for ϕ s r + 1 .

  • 10: 28.34 Methods of Computation
  • (b)

    Representations for w I ( π ; a , ± q ) with limit formulas for special solutions of the recurrence relations §28.4(ii) for fixed a and q ; see Schäfke (1961a).