A family of polynomials with concyclic zeros

Kenneth B. Stolarsky
1983 Proceedings of the American Mathematical Society  
Expand E(z) = (ez -1)"' by the binomial theorem, and replace every exp(kz) by its approximation (1 + kn~]z)". The resulting polynomial has all of its zeros on a circle of radius r centered at -r, where r = n/m.
doi:10.1090/s0002-9939-1983-0702287-4 fatcat:2qwe6xndgrethmwr7m5zfbmrgm