Interpolating the gamma function
The Endeavour 2024-08-09
Summary:
Suppose you wanted to approximate Γ(10.3). You know it’s somewhere between Γ(10) = 9! and Γ(11) = 10!, and linear interpolation would give you Γ(10.3) ≈ 0.7 × 9! + 0.3 × 10! = 1342656. But the exact value is closer to 716430.69, and so our estimate is 53% too high. Not a very good […]
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