On a general system of orthogonal q-polynomials
✍ Scribed by Jesus Sánchez-Dehesa
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 616 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
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In this paper, we study orthogonal polynomials with respect to the inner product Ž . ŽN. ² : , where G 0 for m s 1, . . . , N, and u is a semiclassical, positive definite linear functional. For these non-standard orthogonal polynomials, algebraic and differential properties are obtained, as well a
This contribution deals with multiple orthogonal polynomials of type II with respect to q-discrete measures (q-Hahn measures). In addition, we show that this family of multiple orthogonal polynomials has a lowering operator, and raising operators, as well as a Rodrigues type formula. The combination