Christian Hägg: Asymptotic zero distributions of iterated derivatives of certain meromorphic functions

Abstract: We study the asymptotic zero distributions of the sequences \(\{D^{\beta n}R(z)^n\}\) and \(\{D^n(R(z)\rm{e}^{T(z)})\}\),where \(R(z)\) is a rational function, \(T(z)\) is a polynomial, and \(\beta>0\) is a real number. Additionally, some numerical results on the above zero distributions are presented along with related conjectures.