TY - JOUR
T1 - Symmetry techniques for q-series
T2 - Askey-wilson polynomials
AU - Kalnins, E. G.
AU - Miller, Willard
PY - 1989
Y1 - 1989
N2 - We advocate the exploitation of symmetry (recurrence relation) techniques for the derivation of properties associated with families of basic hypergeometric functions, in analogy with the local Lie theory techniques for ordinary hypergeometric functions. Here these ideas are applied to the (continuous) Askey-Wilson polynomials, introduced by Askey and Wilson, to obtain a strikingly simple derivation of their orthogonality relations.
AB - We advocate the exploitation of symmetry (recurrence relation) techniques for the derivation of properties associated with families of basic hypergeometric functions, in analogy with the local Lie theory techniques for ordinary hypergeometric functions. Here these ideas are applied to the (continuous) Askey-Wilson polynomials, introduced by Askey and Wilson, to obtain a strikingly simple derivation of their orthogonality relations.
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U2 - 10.1216/RMJ-1989-19-1-223
DO - 10.1216/RMJ-1989-19-1-223
M3 - Article
AN - SCOPUS:27144448175
SN - 0035-7596
VL - 19
SP - 223
EP - 230
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 1
ER -