### Some articles on *polynomials, polynomial*:

Alternating Polynomial - Relation To Symmetric

... Products of symmetric and alternating

**Polynomials**... Products of symmetric and alternating

**polynomials**(in the same variables ) behave thus the product of two symmetric**polynomials**is symmetric, the product of a symmetric**polynomial**... Thus, the direct sum of the spaces of symmetric and alternating**polynomials**forms a superalgebra (a -graded algebra), where the symmetric**polynomials**are the even part, and the ... This grading is unrelated to the grading of**polynomials**by degree ...Charlier

... In mathematics, Charlier

**Polynomials**... In mathematics, Charlier

**polynomials**(also called Poissonâ€“Charlier**polynomials**) are a family of orthogonal**polynomials**introduced by Carl Charlier ... hypergeometric function by where are Laguerre**polynomials**...Alternating Polynomial - Unstable

... Alternating

... Alternating

**polynomials**are an unstable phenomenon (in the language of stable homotopy theory) the ring of symmetric**polynomials**in n variables can be obtained from the ring of symmetric**polynomials**in ... However, this is not the case for alternating**polynomials**, in particular the Vandermonde**polynomial**...Capelli's Identity - Relations With Representation Theory - Case

... we have xi1, which is abbreviated as xi In particular, for the

*m*= 1 and Representation*S**k*C*n*... we have xi1, which is abbreviated as xi In particular, for the

**polynomials**of the first degree it is seen that Hence the action of restricted to the space of ... the representation theory point of view, the subspace of**polynomials**of first degree is a subrepresentation of the Lie algebra, which we identified with the standard representation in ... it is seen that the differential operators preserve the degree of the**polynomials**, and hence the**polynomials**of each fixed degree form a subrepresentation of the Lie algebra ...