Absolutely monotonic functions and connection coefficients for polynomials
β Scribed by G.G. Bilodeau
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 621 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In the present paper, starting from the second-order difference hypergeometric Ε½ . equation on the non-uniform lattice x s satisfied by the set of discrete hypergeo-Γ 4 metric orthogonal q-polynomials p , we find analytical expressions of the expann Ε½ Ε½ .. Ε½ . sion coefficients of any q-polynomial r
The Christoffel functions \(A_{n}(d \mu)\) associated with a general nonnegative measure \(\mu\) on \(\mathbb{R}^{d}\) are studied. The asymptotics of \(A_{n}(d \mu)\) are derived for \(\mu\) supported on \([-1,1]^{d}\). The estimates of \(A_{n}(d \mu)\) are used to study the summability of the mult