On Lacunary Sums of Orthogonal Polynomials
β Scribed by A. Kroo
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 345 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The two-parameter Pastro Al-Salam Ismail (PASI) polynomials are known to be bi-orthogonal on the unit circle with continuous weight function when 0<q<1. We study the case of q a root of unity. It is shown that corresponding PASI polynomials are orthogonal on the unit circle with discrete measure loc
We give bounds for the roots of such polynomials with complex coefficients. These bounds are much smaller than for general polynomials.
Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici
Let F q denote the finite field of q elements, q=p e odd, let q 1 denote the canonical additive character of F q where q 1 (c)=e 2piTr(c)/p for all c Β₯ F q , and let Tr represent the trace function from F q to F p . We are interested in evaluating Weil sums of the form Coulter has determined the va