Definition of Ultraspherical. Meaning of Ultraspherical. Synonyms of Ultraspherical

- alternative to the inverse DFT definition is also available.[1]. The Ultraspherical window was introduced in 1984 by Roy Streit and has application in antenna...
- In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α) n(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight...
- polynomials, also called Rogers–Askey–Ismail polynomials and continuous q-ultraspherical polynomials, are a family of orthogonal polynomials introduced by Rogers (1892...
- "sieved") version of the recurrence relations for ultraspherical polynomials. For the sieved ultraspherical polynomials of the first kind the recurrence relations...
- cannot be used). The Chebyshev polynomials are a special case of the ultraspherical or Gegenbauer polynomials C n ( λ ) ( x ) {\displaystyle C_{n}^{(\lambda...
- relations are replaced by simpler ones. The first examples were the sieved ultraspherical polynomials introduced by Waleed Al-Salam, W. R. Allaway, and Richard...
- of an orthogonal basis over the angular coordinates is a product of ultraspherical polynomials, ∫ 0 π sin n − j − 1 ⁡ ( φ j ) C s ( n − j − 1 2 ) cos ⁡...
- certain Lévy processes. Sieved orthogonal polynomials, such as the sieved ultraspherical polynomials, sieved Jacobi polynomials, and sieved Pollaczek polynomials...
- of the Newton kernel (with suitable normalization) are precisely the ultraspherical polynomials. Thus, the zonal spherical harmonics can be expressed as...
- Antoniou (2005). "Design of Nonrecursive Digital Filters Using the Ultraspherical Window Function". EURASIP Journal on Applied Signal Processing. 2005...