- The “volume” of the ball is given by .
- The “surface area” of the sphere is given by .
Note: , so: and .
Alzer’s inequalities (as cited in ):
- , where , ;
- , where and ;
- , where and .
-  “Topics in Special Functions” by G. D. Anderson, M. K. Vamanamurthy, M. Vuorinen – http://arxiv.org/abs/0712.3856