Meanings
- not comparablemathematicsRelated to or involving a Gegenbauer polynomial.
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.
2008, Daniele Funaro, Polynomial Approximation of Differential Equations, →ISBN, page 1161 more example
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.
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)
Origin
Cite this entry
ultraspherical. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/ultraspherical
“ultraspherical.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ultraspherical. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “ultraspherical,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/ultraspherical.
Source: ultraspherical on Wiktionary, CC BY-SA 4.0.