Search results
There is a page named "Differential polynomial" on Wikipedia
- view of deriving properties of differential equations and operators without computing the solutions, similarly as polynomial algebras are used for the study...61 KB (7,869 words) - 05:57, 4 July 2024
mathematics, Legendre polynomials, named after Adrien-Marie Legendre (1782), are a system of complete and orthogonal polynomials with a vast number of...31 KB (5,385 words) - 15:23, 18 April 2024- In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives...30 KB (4,757 words) - 09:44, 12 April 2024
mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834–1886), are nontrivial solutions of Laguerre's differential equation: x y ″ + ( 1...33 KB (5,768 words) - 11:01, 24 May 2024- In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets...56 KB (10,011 words) - 16:24, 12 June 2024
- of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more...51 KB (8,173 words) - 20:35, 14 June 2024
most polynomial growth conditions in ξ under which this integral is well-behaved comprises the pseudo-differential operators. The differential operator...22 KB (3,658 words) - 10:40, 2 July 2024
The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)} and...61 KB (11,368 words) - 02:06, 11 June 2024- In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α) n(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight...7 KB (1,339 words) - 21:00, 11 July 2023
- In mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Joseph Bernstein (1971) and...11 KB (1,562 words) - 06:32, 13 May 2024
- In algebra, the ring of polynomial differential forms on the standard n-simplex is the differential graded algebra: Ω poly ∗ ( [ n ] ) = Q [ t 0 , . ...1 KB (190 words) - 05:23, 13 May 2024
- Ore extension (redirect from Skew polynomial ring)extension are called Ore polynomials. Ore extensions appear in several natural contexts, including skew and differential polynomial rings, group algebras...4 KB (563 words) - 16:58, 3 November 2023
In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions...31 KB (4,447 words) - 09:20, 21 April 2024- algebraic form Schur polynomial Symbol of a differential operator However, as some authors do not make a clear distinction between a polynomial and its associated...6 KB (1,039 words) - 12:03, 7 February 2024
- Nonlinear system (redirect from Nonlinear differential equation)of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of...21 KB (2,597 words) - 23:02, 6 April 2024
- orthogonal polynomials are the most widely used orthogonal polynomials: the Hermite polynomials, Laguerre polynomials, Jacobi polynomials (including as...35 KB (6,102 words) - 20:33, 17 November 2022
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) P n ( α , β ) ( x ) {\displaystyle P_{n}^{(\alpha ,\beta )}(x)} are...11 KB (2,457 words) - 14:17, 29 June 2024
polynomial equation in the unknown function and its derivatives, its degree of the differential equation is, depending on the context, the polynomial...30 KB (3,650 words) - 01:59, 4 May 2024- Coefficient (category Polynomials)respectively. In the context of differential equations, an equation can often be written as equating to zero a polynomial in the unknown functions and their...7 KB (1,095 words) - 20:50, 6 February 2024
- In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the...60 KB (8,176 words) - 23:48, 29 June 2024
- be any polynomial in D with constant coefficients, ψ(D) (eaxu) = eaxψ(D + a)u. Next, denoting ∫ udx by D−1u, and any solution of the differential equation
- contributed to all these fields, but his interests extended to orthogonal polynomials and continued fractions, and the applications of his work to the foundations
- In mathematics, Legendre's differential equation is d d x [ ( 1 − x 2 ) d d x P n ( x ) ] + n ( n + 1 ) P n ( x ) = 0. {\displaystyle {d \over dx}\left[(1-x^{2}){d