Properties of the Zeros of the Polynomials Belonging to the Askey Scheme
@article{Bihun2014PropertiesOT, title={Properties of the Zeros of the Polynomials Belonging to the Askey Scheme}, author={Oksana Bihun and Francesco Calogero}, journal={Letters in Mathematical Physics}, year={2014}, volume={104}, pages={1571-1588} }
In this paper, we provide properties—which are, to the best of our knowledge, new—of the zeros of the polynomials belonging to the Askey scheme. These findings include Diophantine relations satisfied by these zeros when the parameters characterizing these polynomials are appropriately restricted.
15 Citations
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Properties of the Zeros of the Polynomials Belonging to the Askey Scheme
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In this paper, we provide properties—which are, to the best of our knowledge, new—of the zeros of the polynomials belonging to the Askey scheme. These findings include Diophantine relations satisfied…
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Certain techniques to obtain properties of the zeros of polynomials satisfying second-order ODEs are reviewed. The application of these techniques to the classical polynomials yields formulas which…
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