Polya Frequency Sequences and the Exponential Generating Function.
WASHINGTON UNIV ST LOUIS MO DEPT OF COMPUTER SCIENCE
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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.
- Theoretical Mathematics