Dual addition formulas the case of continuous q-ultraspherical and q-Hermite polynomials
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| Publication date | 06-2023 |
| Journal | The Ramanujan Journal |
| Volume | Issue number | 61 | 2 |
| Pages (from-to) | 425-444 |
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| Abstract | We settle the dual addition formula for continuous q-ultraspherical polynomials as an expansion in terms of special q-Racah polynomials for which the constant term is given by the linearization formula for the continuous q-ultraspherical polynomials. In a second proof we derive the dual addition formula from the Rahman–Verma addition formula for these polynomials by using the self-duality of the polynomials. We also consider the limit case of continuous q-Hermite polynomials. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s11139-021-00426-7 |
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Dual addition formulas
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