A Complete Monotonicity of the Gamma Function

The function 1/x ln Γ(x+1)−ln x+1 is strictly completely monotonic on (0,∞)

Logarithmically Completely Monotonic Ratios of Mean Values and an Application

In the article, some strictly Logarithmically completely monotonic ratios of mean values are presented

Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means

Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and b

The Single Flavor Color Superconductivity in a Magnetic Field

We investigate the single flavor color superconductivity in a magnetic field. Because of the absence of the electromagnetic Meissner effect, forming a nonspherical CSC phase, polar, A or planar, does not cost energy of excluding magnetic flux. We found that these nonspherical phases do occupy a significant portion of the phase diagram with respect to magnetic field and temperature and may be implemented under the typical quark density and the magnetic field inside a compact star.Comment: 4 pages minor changes, typos fixed, figures redraw