Recent content by lunogled

A_{n} are numbers. w as a function of k is indeterminate, so if w(k) is a root, w(-k) is also a root, w is defined as a function of k

Consider a polynomial of the following type: A_n w^n + A_{n-1} w^{n-1}k + A_{n-2} w^{n-2} k^2 + ... + A_1 k^n =0 What are the general conditions on {A_i} in order for the roots w(k) to be EITHER real OR functions with even imaginary parts, Im[w[k]]=Im[w[-k]]? I would be interested in...