2 3 D ec 1 99 9 THE ASKEY - WILSON FUNCTION TRANSFORM SCHEME
نویسنده
چکیده
In this paper we present an addition to Askey’s scheme of q-hypergeometric orthogonal polynomials involving classes of q-special functions which do not consist of polynomials only. The special functions are q-analogues of the Jacobi and Bessel function. The generalised orthogonality relations and the second order q-difference equations for these families are given. Limit transitions between these families are discussed. The quantum group theoretic interpretations are discussed shortly.
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ar X iv : m at h / 99 12 14 0 v 1 [ m at h . C A ] 1 7 D ec 1 99 9 THE ASKEY - WILSON FUNCTION TRANSFORM SCHEME
In this paper we present an addition to Askey’s scheme of q-hypergeometric orthogonal polynomials involving classes of q-special functions which do not consist of polynomials only. The special functions are q-analogues of the Jacobi and Bessel function. The generalised orthogonality relations and the second order q-difference equations for these families are given. Limit transitions between the...
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