On Generating Functions of Hausdorff Moment Sequences

@inproceedings{Liu2016OnGF,
  title={On Generating Functions of Hausdorff Moment Sequences},
  author={Jian-Guo Liu},
  year={2016}
}
The class of generating functions for completely monotone sequences (moments of finite positive measures on [0, 1]) has an elegant characterization as the class of Pick functions analytic and positive on (−∞, 1). We establish this and another such characterization and develop a variety of consequences. In particular, we characterize generating functions for… CONTINUE READING