Associated continuous Hahn polynomials. (English) Zbl 0752.33002
The authors study continued fraction representations for associated continuous Hahn polynomials which are \(_ 3F_ 2\) of the unit argument. The authors obtain a contiguous relation satisfied by these polynomials and six different solutions of this recurrence relation valid for different ranges of values of the parameters involved. For these solutions they obtain continued fraction representations which are valid in different regions. Several orthogonality relations and properties have also been investigated.
Reviewer: R.P.Agarwal (Lucknow)
MSC:
33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
42C05 | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis |