- In mathematics,
Gegenbauer polynomials or
ultraspherical polynomials C(α) n(x) are
orthogonal polynomials on the
interval [−1,1] with
respect to the weight...
-
Gegenbauer is a
German surname.
Notable people with the
surname include:
Josef Anton Gegenbauer (1800–1876),
German historical and
portrait painter Leopold...
-
Bernhard Gegenbauer (2
February 1849,
Asperhofen – 3 June 1903, Gießhübl) was an
Austrian mathematician remembered best as an algebraist.
Gegenbauer polynomials...
-
turns Jacobi polynomials into
Gegenbauer polynomials, in
which case the
technique is
sometimes called Gauss–
Gegenbauer quadrature. Gauss–Jacobi quadrature...
-
Laguerre polynomials,
Jacobi polynomials (including as a
special case the
Gegenbauer polynomials,
Chebyshev polynomials, and
Legendre polynomials). They have...
-
commissioned him to
decorate the
Royal Villa of
Schloss Rosenstein.
There Gegenbauer painted a
number of frescoes: "Jupiter
giving Immortality to Psyche" "The...
- Schrödinger
equation for this
potential can be
described analytically with
Gegenbauer polynomials. As v {\displaystyle v} p****es
through each of
these values...
- }(1+x)^{\beta }} on the
interval [ − 1 , 1 ] {\displaystyle [-1,1]} . The
Gegenbauer polynomials, and thus also the Legendre,
Zernike and
Chebyshev polynomials...
- polynomials, the
Laguerre polynomials and the
Jacobi polynomials. The
Gegenbauer polynomials form the most
important class of
Jacobi polynomials; they...
- distance, in
cosmology P {\displaystyle \mathrm {P} } represents: one of the
Gegenbauer functions in
analytic number theory (may be
replaced by the
capital form...
