(mathematics) Any member of a certain group of polynomials remarkable in that the number of crossings of the x-axis in the unit interval does not go up as the degree of the polynomials goes up.

(mathematics) Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹.

(mathematics) Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications.

(mathematics) A polynomial that is a solution to Laguerre's equation.

(mathematics) Any member of a polynomial sequence which can be considered as a generalization of the Lucas numbers.

(mathematics) A particular knot polynomial that is an invariant of an oriented knot or link which assigns to each oriented knot or link a Laurent polynomial in the variable t^(1/2) with integer coefficients.

Synonym of Alexander-Conway polynomial

(mathematics) A linear combination of positive and negative powers of a variable with coefficients in a given field. They differ from ordinary polynomials in that they may have terms of negative degree.

(mathematics) A knot invariant which assigns a polynomial with integer coefficients to each knot type.

plural of polynomial form