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Linearization formula for the product of associated q-ultraspherical polynomials |
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| Authors: | Mizan Rahman Q M Tariq |
| Institution: | (1) School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6, Canada;(2) Department of Mathematics and Computer Science, Virginia State University, Petersburg, Virginia, 23806 |
| Abstract: | We obtain an explicit formula for the linearization coefficient of the product of two associated q-ultraspherical polynomials in terms of a multiple of a balanced, terminating very-well-poised 10φ9 series. We also discuss the nonnegativity properties of the coefficients as well as some special cases. 2000 Mathematics Subject Classification Primary—33D45; Secondary—33D8 This work was supported in part by an NSERC grant A6197. |
| Keywords: | 3-term recurrence formula Balanced very-well-poised series Linearization formula for the product of 2 associated continuous q-ultraspherical polynomials |
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