Closed cartesian representation of the Zernike polynomials
β Scribed by Martin Carpio; Daniel Malacara
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 190 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0030-4018
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The Hermite polynomials The Andrews-Askey integral The Leibniz rule for the q-difference operator a b s t r a c t We use the Andrews-Askey integral and the Leibniz rule for the q-difference operator to give the q-integral representation of the Al-Salam-Carlitz polynomials, which includes the q-inte
We give representations of the Wilson polynomials and the continuous dual Hahn polynomials in terms of multidimensional generalizations of Barnes type integrals. Motivation is to study the Barnes type integrals from the viewpoint of the de Rham theory and holonomic systems.
Let Qn denote the class of polynomials of degree less than or equal to n that are univalent in the unit disk D and which are of the form (1) with real coefficients. The class Qn is a subclass of T,, of polynomials of degree les8 than or equal to n normalized by (1) which are real if and only if z is