Online Gamma Function Visualizer

Explore special mathematical functions with interactive visualization and detailed mathematical analysis.

Function

600 points

Function Plot Preview

Configure parameters and see live preview of mathematical functions

Plot Statistics

Points
0
Min Y
—
Max Y
—
Hover (x,y)
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Actions

Function Description

Learn about the mathematical properties and applications of special functions

Gamma function Definition (integral, Re(z)>0): Gamma(z) = integral from 0 to infinity of t^(z-1) * e^(-t) dt Key identity: Gamma(z+1) = z * Gamma(z) Reflection: Gamma(1-z) * Gamma(z) = pi / sin(pi * z) Notes: plotted here via Lanczos approximation; poles at non-positive integers.

How To Use

Step-by-step guide to using the Gamma Function Visualizer

1

Select Function

Choose from Gamma, Error, or Bessel functions

2

Set Range

Adjust X min and X max values for plotting

3

Adjust Resolution

Control the number of points for accuracy

4

Plot & Explore

Click plot and hover to see coordinates

The Gamma Function Visualizer provides interactive plotting capabilities for three important special functions in mathematics: the Gamma function, Error function, and Bessel function J0.

Use the controls to adjust the plotting range and resolution for detailed exploration of function behavior, poles, and asymptotic properties.

Download your plots as PNG images for use in presentations, research papers, or educational materials.

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