The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
β Scribed by E.H. Doha
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 447 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The main subject of this paper is the analysis of asymptotic expansions of Wallis quotient function Ξ (x+t) Ξ (x+s) and Wallis power function , when x tends to infinity. Coefficients of these expansions are polynomials derived from Bernoulli polynomials. The key to our approach is the introduction
In 1959, Davis introduced the concept of a differentiator of an operator on a finite-dimensional Hilbert space. We prove that every such operator possesses a differentiator. We also use the theory of differentiators to solve several problems in the geometry of polynomials. For instance, we answer in