Turán type inequalities for Krätzel functions
arXiv:1101.2523 · doi:10.1016/j.jmaa.2011.09.057
Abstract
Complete monotonicity, Laguerre and Turán type inequalities are established for the so-called Krätzel function defined by $$Z_ρ^ν(u)=\int_0^{\infty}t^{ν-1}e^{-t^ρ-\frac{u}{t}}\dt,$$ where and Moreover, we prove the complete monotonicity of a determinant function of which entries involve the Krätzel function.
9 pages