Structure Relations of Classical Orthogonal Polynomials in the Quadratic and q-Quadratic Variable
We prove an equivalence between the existence of the first structure relation satisfied by a sequence of monic orthogonal polynomials {Pₙ}ₙ₌₀ ∞, the orthogonality of the second derivatives {𝔻²ₓPₙ}ₙ₌₂ ∞ , and a generalized Sturm-Liouville type equation. Our treatment of the generalized Bochner theore...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209878 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Structure Relations of Classical Orthogonal Polynomials in the Quadratic and q-Quadratic Variable / M. Kenfack Nangho, K. Jordaan // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 28 назв. — англ. |