Journal article
Two Families of Associated Wilson Polynomials
Canadian journal of mathematics, v 42(4), pp 659-695
01 Aug 1990
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
Two families of associated Wilson polynomials are introduced. Both families are birth and death process polynomials, satisfying the same recurrence relation but having different initial conditions. Contiguous relations for generalized hypergeometric functions of the type 7
F
6 are derived and used to find explicit representations for the polynomials and to compute the corresponding continued fractions. The absolutely continuous components of the orthogonality measures of both families are computed. Generating functions are also given.
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Details
- Title
- Two Families of Associated Wilson Polynomials
- Creators
- M. E. H. Ismail - Department of Mathematics, University of South Florida, Tampa, Florida, 33620J. Letessier - Department of Mathematics, University of South Florida, Tampa, Florida, 33620G. Valent - Laboratoire de Physique Théorique et Hautes Energies, Université Paris 7, Tour 24-5e étage 2 Place Jussieu, 75251 Paris Cedex 05, FranceJ. Wimp - Drexel University
- Publication Details
- Canadian journal of mathematics, v 42(4), pp 659-695
- Publisher
- Cambridge University Press
- Number of pages
- 37
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1990ED23300006
- Other Identifier
- 991019312383604721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics