Optimal bounds for the generalized Euler-Mascheroni constant.

We provide several sharp upper and lower bounds for the generalized Euler-Mascheroni constant. As consequences, some previous bounds for the Euler-Mascheroni constant are improved.

Monotonicity properties and bounds for the complete -elliptic integrals.

We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete -elliptic integrals.