ultraspherical
English
Etymology
ultra- + spherical
![](Images/wiktionary/Mplwp_gegenbauer_Cn05a1.svg.png.webp)
Ultraspherical polynomials with α=1
Adjective
ultraspherical (not comparable)
- (mathematics) Related to or involving a Gegenbauer polynomial.
- 2008, Daniele Funaro, Polynomial Approximation of Differential Equations, →ISBN, page 116:
- Thus, an estimate for 0 < v < 1, can be derived from theorem 6.6.1, by noting that v is an ultraspherical weight function, whose exponent is negative.
- 2015, Richard Mikael Slevinsky, Sheehan Olver, “A fast and well-conditioned spectral method for singular integral equations”, in (Please provide the book title or journal name):
- We develop a spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials to reformulate the equations as almost-banded infinite-dimensional systems.
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Derived terms
- ultraspherical polynomial