Continuous Binomial Function in 3D
This is a 3D plot of the binomial function, based on using the gamma function to extend the definition of from the integers to real numbers.
The controls let you set the range visible for the - plane as well as the height of the axis.
The "n-k plane plot range" slider lets you expand to . Both are expanded or contracted together.
The "z axis plot range" slider lets you expand to . As the range can be adjusted by eight orders of magnitude, it is often easier to open the control and type in the desired value.
See section 4.6, A New View of Pascal’s Triangle of .
 D. Fowler, "The Binomial Coefficient Function," American Mathematical Monthly, 103(1), 1996 pp. 1–17.
 S. Wagon, Mathematica in Action, New York: Springer, 2010.