Clark and Ismail's positivity conjecture for derivatives of a quotient
Let n∈Nn\in\mathbb{N}n∈N and define the function x↦xn/(1−e−x)x\mapsto x^n/(1-e^{-x})x↦xn/(1−e−x) on (0,∞)(0,\infty)(0,∞). Clark and Ismail's positivity conjecture. For all x∈(0,∞)x\in(0,\infty)x∈(0,∞) and n∈Nn\in\mathbb{N}n∈N, … T…