Liu–Wang's Narayana transformation conjecture on log-convexity
Let N(n,k)=1n(nk)(nk+1)N(n,k)=\frac{1}{n}\binom{n}{k}\binom{n}{k+1}N(n,k)=n1(kn)(k+1n) be the Narayana numbers. For a sequence (ak)k≥0(a_k)_{k\geq 0}(ak)k≥0 of positive real numbers, define its Narayana transform by … A sequence…