|
In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Various special polynomial sequences are known by eponyms; among these are: For other meanings of mathematics or uses of math and maths, see Mathematics (disambiguation) and Math (disambiguation). ...
For other senses of this word, see sequence (disambiguation). ...
In mathematics, a polynomial is an expression that is constructed from one variable or more variables and constants, using only the operations of addition, subtraction, multiplication, and constant positive whole number exponents. ...
An eponym is the name of a person, whether real or fictitious, who has (or is thought to have) given rise to the name of a particular place, tribe, discovery, or other item. ...
Examples In mathematics, a monomial (or mononomial) is a particular kind of polynomial, having just one term. ...
In mathematics, the Pochhammer symbol is used in the theory of special functions to represent the rising factorial or upper factorial and, confusingly, is used in combinatorics to represent the falling factorial or lower factorial The empty product (x)0 is defined to be 1 in both cases. ...
In mathematics, the Pochhammer symbol is used in the theory of special functions to represent the rising factorial or upper factorial and, confusingly, is used in combinatorics to represent the falling factorial or lower factorial The empty product (x)0 is defined to be 1 in both cases. ...
The Abel polynomials in mathematics form a polynomial sequence, the n-th term of which is of the form This polynomial sequence is of binomial type. ...
In combinatorial mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are given by the sum extending over all sequences j1, j2, j3, ..., jn−k+1 of positive integers such that Combinatorial meaning If the integer n is partitioned into a sum in which 1 appears j1...
In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz zeta function. ...
In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivres formula and which are easily defined recursively, like Fibonacci or Lucas numbers. ...
In mathematics, Fibonacci polynomials are a generalization of Fibonacci numbers. ...
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; and in physics, as the eigenstates of the quantum harmonic oscillator. ...
In mathematics, Legendre functions are solutions to Legendres differential equation: They are named after Adrien-Marie Legendre. ...
In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 - 1886), are a polynomial sequence defined by These polynomials are orthogonal to each other with respect to the inner product given by Also, for each n, Ln(x) is a solution of Laguerres equation which is a second-order...
In mathematics, the nth-degree spread polynomial Sn, for n = 0, 1, 2, ..., may be characterized by the trigonometric identity Although that is probably the simplest way to explain what spread polynomials are to those versed in well-known topics in mathematics, spread polynomials were introduced by Norman Wildberger for...
The Touchard polynomials comprise a polynomial sequence of binomial type defined by where S(n, k) is a Stirling number of the second kind, i. ...
Despite its name, the rook polynomial is used not only to solve chess recreational problems but also in a number of problems arising in combinatorial mathematics, group theory, and number theory. ...
Classes of polynomial sequences |
Feeds |
Contact