Asymptotics of zeros of the Wright function (Q1578926)

This paper is devoted to the investigation of the Wright function \[ \Phi (\rho, \beta, z) = \sum \limits_{k=0}^{\infty} \frac{z^k}{k! \Gamma (\rho k + \beta)} \] in the case the real parameter \(\beta\) and \(\rho > -1\). The author has given the asymptotic formula for the function of the zero distribution (Theorems 3 and 4) and as the consequence of these theorems he has established that this function is a function of completely regular growth.