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On the linearization problem involving Pochhammer symbols and their q-analogues

✍ Scribed by R. Álvarez-Nodarse; N.R. Quintero; A. Ronveaux

Book ID
104338954
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
116 KB
Volume
107
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we present a simple recurrent algorithm for solving the linearization problem involving some families of q-polynomials in the exponential lattice x(s) = c1q s + c3. Some simple examples are worked out in detail.

📜 SIMILAR VOLUMES

On the Connection and Linearization Prob
On the Connection and Linearization Problem for Discrete Hypergeometric q-Polynomials
✍ R. Álvarez-Nodarse; J. Arvesú; R.J. Yáñez 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 185 KB

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