-
polynomials,
quadratic polynomials and
cubic polynomials. For
higher degrees, the
specific names are not
commonly used,
although quartic polynomial (for...
- The
Chebyshev polynomials are two
sequences of
orthogonal polynomials related to the
cosine and sine functions,
notated as T n ( x ) {\displaystyle T_{n}(x)}...
- mathematics,
Legendre polynomials,
named after Adrien-Marie
Legendre (1782), are a
system of
complete and
orthogonal polynomials with a wide
number of...
- In mathematics, an
orthogonal polynomial sequence is a
family of
polynomials such that any two
different polynomials in the
sequence are
orthogonal to...
- to
define the
multidimensional polynomials. Like the
other classical orthogonal polynomials, the
Hermite polynomials can be
defined from
several different...
- of a
Taylor series is a
polynomial of
degree n that is
called the nth
Taylor polynomial of the function.
Taylor polynomials are
approximations of a function...
-
composition of two
polynomials is
strongly related to the
degree of the
input polynomials. The
degree of the sum (or difference) of two
polynomials is less than...
-
generalized Laguerre polynomials, as will be done here (alternatively ****ociated
Laguerre polynomials or, rarely,
Sonine polynomials,
after their inventor...
- j\neq m} , the
Lagrange basis for
polynomials of
degree ≤ k {\textstyle \leq k} for
those nodes is the set of
polynomials { ℓ 0 ( x ) , ℓ 1 ( x ) , … , ℓ...
-
especially in the
field of algebra, a
polynomial ring or
polynomial algebra is a ring
formed from the set of
polynomials in one or more
indeterminates (traditionally...