Polya Frequency Sequences and the Exponential Generating Function.
Abstract
A basic result in the theory of total positivity is that the convolution of any two P(F sub 2) sequences (sequences such that the logarithms of their elements are concave functions of the index) is again a P(F sub 2) sequence. This result, with its obvious interpretation in terms of ordinary generating functions is shown to carry over to binomial convolution and the exponential generating function.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1974
- Accession Number
- ADA012381
Entities
People
- David W. Walkup
Organizations
- University of Washington