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On the Connection and Linearization Problem for Discrete Hypergeometric q-Polynomials

✍ Scribed by R. Álvarez-Nodarse; J. Arvesú; R.J. Yáñez

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
185 KB
Volume
257
Category
Article
ISSN
0022-247X

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✦ Synopsis

In the present paper, starting from the second-order difference hypergeometric Ž . equation on the non-uniform lattice x s satisfied by the set of discrete hypergeo-Ä 4 metric orthogonal q-polynomials p , we find analytical expressions of the expann Ž Ž .. Ž . sion coefficients of any q-polynomial r x s on x s and of the product m Ž Ž .. Ž Ž .. Ä 4 r x s q x s in series of the set p . These coefficients are given in terms of m j n the polynomial coefficients of the second-order difference equations satisfied by the involved discrete hypergeometric q-polynomials.

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