Some Orthogonal Polynomials Related to Elliptic Functions
β Scribed by Mourad E.H. Ismail; Galliano Valent; Gang J. Yoon
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 178 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
We investigate the polynomials P n , Q m , and R s , having degrees n, m, and s, respectively, with P n monic, that solve the approximation problem We give a connection between the coefficients of each of the polynomials P n , Q m , and R s and certain hypergeometric functions, which leads to a sim
## Abstract This paper deals with atomic decompositions in spaces of type __B^s^~p,q~__ (β^__n__^ , __w__), __F^s^~p,q~__ (β^__n__^ , __w__), 0 < __p__ < β, 0 < __q__ β€ β, __s__ β β, where the weight function __w__ belongs to some Muckenhoupt class __A~r~__. In particular, we consider the weight fu