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Bi-orthogonality and zeros of transformed polynomials

✍ Scribed by A. Iserles; S.P. Nørsett

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
302 KB
Volume
19
Category
Article
ISSN
0377-0427

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✦ Synopsis

Let D and E be two real intervals. We consider transformations that map polynomials with zeros in D into polynomials with zeros in E. A general technique for the derivation of such transformations is presented. It is based on identifying the transformation with a parametrised distribution ~(x,/~), x ~ E, /~ ~ D, and forming the bi-orthogonal polynomial system with respect to ¢?. Several examples of such transformations are given.

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