The gamma function extends factorial-like behavior beyond whole numbers.
Gamma Function Calculator
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Table of Contents
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What is Gamma Function?
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How to Use This Calculator
- Enter or select x, Precision.
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used
Γ(x+1) = xΓ(x); Γ(n) = (n−1)! for positive integers n
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Variables Explained
| Input | What it means |
|---|---|
| x | A value or coefficient in the formula above; keep the displayed position and sign. |
| Precision | Requested number of output decimal places; this changes display rounding, not input accuracy. |
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Worked Example
Γ(5) = 4! = 24; Γ(1/2) = √π.
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Why Use This Calculator?
Check factorial extensions used in probability and continuous mathematics.
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Common Mistakes
- Gamma is undefined at zero and negative integers. Numerical precision does not remove those poles.
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Frequently Asked Questions
Should I round numbers before calculating?
Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.
Why can a manual calculation differ slightly?
Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.
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Sources & References
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