Mathematics – Classical Analysis and ODEs
Scientific paper
2010-11-25
SIGMA 7 (2011), 040, 8 pages
Mathematics
Classical Analysis and ODEs
dedicated to Willard Miller on the occasion of his retirement; the unnumbered formula after (2.5) is corrected
Scientific paper
10.3842/SIGMA.2011.040
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials. This is extended to a multi-parameter limit with 3 parameters, also involving (q-)Hahn polynomials, little q-Jacobi polynomials and Jacobi polynomials. Also the limits from Askey-Wilson to Wilson polynomials and from q-Racah to Racah polynomials are given in a more conceptual way.
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