Inductive proofs of q-log concavity
BE Sagan - Discrete mathematics, 1992 - Elsevier
Discrete mathematics, 1992•Elsevier
… are applied to show that certain sequences of elementary and complete symmetric
functions are q-log concave. … This furnishes us with our first strongly q-log concave
sequence. … Now to prove strong q-log concavity in k for the c[n, k] we need an injection …
functions are q-log concave. … This furnishes us with our first strongly q-log concave
sequence. … Now to prove strong q-log concavity in k for the c[n, k] we need an injection …
Abstract
We give inductive proofs of q-log concavity for the Gaussian polynomials and the q-Stirling numbers of both kinds. Similar techniques are applied to show that certain sequences of elementary and complete symmetric functions are q-log concave.
Elsevier
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