arrived at as an aid to computation. A pussycat!
Why is it for t? t is parametric, something that can vary
with both the x and y axis. Easier to live with. Below:
The Fundamental Theorem(s) of calculus states that differentiation
and integration are reciprocal, so that between values of a funtion,
one can read the area values of the lower from the higher. Below:
The gamma function gets useful for values between integers. Below:
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What has me wondering - and one can see it in the graph of the
function - is that smaller fractions have larger gamma values.
How can this be right... or useful!?
source: Math is Fun
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