ultraspherical

English

Etymology

From ultra- +‎ spherical.

Ultraspherical polynomials with α=1

Adjective

ultraspherical (not comparable)

1. (mathematics) Related to or involving a Gegenbauer polynomial.
   • 2008, Daniele Funaro, Polynomial Approximation of Differential Equations‎^[1], →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)‎^[2]:

     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.

Derived terms

• ultraspherical polynomial