1. Horizontal and vertical log-concavity.
- Author
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Heim, Bernhard and Neuhauser, Markus
- Subjects
- *
LAGUERRE polynomials , *GENERATING functions , *NUMBER theory , *BINOMIAL coefficients , *COMBINATORICS , *RECURSION theory - Abstract
Horizontal and vertical generating functions and recursion relations have been investigated by Comtet for triangular double sequences. In this paper we investigate the horizontal and vertical log-concavity of triangular sequences assigned to polynomials which show up in combinatorics, number theory and physics. This includes Laguerre polynomials, the Pochhammer polynomials, the D'Arcais and Nekrasov–Okounkov polynomials. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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