Accession Number:

ADA012381

Title:

Polya Frequency Sequences and the Exponential Generating Function.

Descriptive Note:

Technical rept.,

Corporate Author:

WASHINGTON UNIV ST LOUIS MO DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1974-08-01

Pagination or Media Count:

12.0

Abstract:

A basic result in the theory of total positivity is that the convolution of any two PF sub 2 sequences sequences such that the logarithms of their elements are concave functions of the index is again a PF 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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE