Horizontal and vertical log-concavity

Research in Number Theory, vol. 7

Abstract

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.

Authors 2

1. Bernhard E. Heim corresponding Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik, RWTH Aachen University, 52056, Aachen, Germany

   Lehrstuhl A für Mathematik, RWTH Aachen University, Aachen, Germany#TAB#

2. Markus Neuhauser Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University · Kutaisi International University

   Affiliation as printed

   Kutaisi International University (KIU), Youth Avenue, Turn 5/7, 4600, Kutaisi, Georgia

   Lehrstuhl A für Mathematik, RWTH Aachen University, 52056, Aachen, Germany

   Kutaisi International University (KIU), Kutaisi, Georgia

   Lehrstuhl A für Mathematik, RWTH Aachen University, Aachen, Germany