TY - JOUR
T1 - Log-Concavity and the Exponential Formula
AU - Schirmacher, Ernesto
PY - 1999
Y1 - 1999
N2 - A 1996 result of Bender and Canfield showed that passing a log-concave sequence through the exponential formula resulted in a log-concave sequence which was almost log-convex. We generalize that result toq–log-concavity. Our proof follows Bender and Canfield for one part. For the other part, we use the theory of symmetric functions to show that the second part of the Bender–Canfield result follows directly from the first part. We also give several corollaries and examples.
AB - A 1996 result of Bender and Canfield showed that passing a log-concave sequence through the exponential formula resulted in a log-concave sequence which was almost log-convex. We generalize that result toq–log-concavity. Our proof follows Bender and Canfield for one part. For the other part, we use the theory of symmetric functions to show that the second part of the Bender–Canfield result follows directly from the first part. We also give several corollaries and examples.
UR - http://www.sciencedirect.com/science/article/pii/S0097316598928965
U2 - 0097-3165
DO - 0097-3165
M3 - Article
VL - 85
SP - 127
EP - 134
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
IS - 2
ER -