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A sequence of polynomials p_n satisfying the identities p_n(x+y)=sum_(k>=0)(n; k)p_k(x)p_(n-k)(y).

The companion matrix to a monic polynomial a(x)=a_0+a_1x+...+a_(n-1)x^(n-1)+x^n (1) is the n×n square matrix A=[0 0 ... 0 -a_0; 1 0 ... 0 -a_1; 0 1 ... 0 -a_2; | | ... ... |; ...

The partial differential equation u_(xy)+(alphau_x-betau_y)/(x-y)=0.

Consider a function f(x) in one dimension. If f(x) has a relative extremum at x_0, then either f^'(x_0)=0 or f is not differentiable at x_0. Either the first or second ...

A vector field v for which the curl vanishes, del xv=0.

The function K_n(x_0,x)=K_n(x,x_0)^_=K_n(x^_,x^__0) which is useful in the study of many polynomials.

The portion of the complex plane z=x+iy with real part R[z]<0.

The second-order ordinary differential equation y^('')+f(x)y^'+y=0.

A distribution with zero kurtosis excess, i.e., gamma_2=0.

The negative real axis is the portion of the real axis with x<0.