2 problems

Even-power complete-monotonicity conjecture. The function $f_{\alpha}^{[r]}$ is completely monotonic on $[0,\infty)$. In particular, $\psi_{n,c}^{[r]}$ is completely monotonic on…

Raşa's conjecture. The function $\psi_{n,c}$ is logarithmically convex. The paper proves complete monotonicity of $\psi_{n,c}$, which implies logarithmic convexity; thus this conje…