Article ID Journal Published Year Pages File Type
4622684 Journal of Mathematical Analysis and Applications 2007 10 Pages PDF
Abstract

We investigate the locations of the points of inflexion of Euler's Psi function, and the positions of the stationary points of its derivative. We also establish some trigonometric approximations to Psi which lead to improved estimates for the positions of its zeros. Finally we consider the behaviour of the horizontal separation between the branches.

Related Topics
Physical Sciences and Engineering Mathematics Analysis