Geodesic
Complex Weight Functions for Classical Orthogonal Polynomials
Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1294-1308

Voir la notice de l'article provenant de la source Cambridge University Press

We give complex weight functions with respect to which the Jacobi, Laguerre, little q-Jacobi and Askey-Wilson polynomials are orthogonal. The complex functions obtained are weight functions in a wider range of parameters than the real weight functions. They also provide an alternative to the recent distributional weight functions of Morton and Krall, and the more recent hyperfunction weight functions of Kim.
DOI : 10.4153/CJM-1991-074-8
Mots-clés : 33A65, 33A30, 42C05, Complex weight functions, real weight functions, Jacobi, Laguerre, little q-Jacobi, Askey-Wilson polynomials, distributional weight functions, hyperfunction weight functions, three term recurrence relations, inner products. 
Ismail, Mourad E. H.; Masson, David R.; Rahman, Mizan. Complex Weight Functions for Classical Orthogonal Polynomials. Canadian journal of mathematics, Tome 43 (1991) no. 6, pp. 1294-1308. doi: 10.4153/CJM-1991-074-8
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