Orthogonal polynomials and some q-beta integrals of Ramanujan
β Scribed by P.I. Pastro
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 884 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
Abel's theorem is used to solve the Fredholm integral equations of the first kind with Gauss's hypergeometric kernel. The case that the kernel takes general form is discussed in detail and the solution is given. Here, the works of some authors are considered as special cases. The discussion focuses