Gamma & Related Functions
The (complete) gamma function extends the factorial to real and complex numbers. The digamma and polygamma functions are defined by derivatives of the logarithm of the gamma function. The incomplete gamma function is a generalization of the complete gamma. Wolfram|Alpha can compute properties for all these gamma-type functions and can also be used as a calculator for them and other gamma-related functions.
Compute values for complete gamma, digamma, polygamma and incomplete gamma functions.
Compute properties of the gamma function:
Compute exact values of gamma at half integers:
Simplify expressions involving gamma:
Numerically compute digamma and polygamma:
Numerically compute the incomplete gamma function:
The Pochhammer symbol is the notation used in special functions to represent the rising factorial, also known as the ascending factorial.
Compute specific Pochhammer symbols:
Do symbolic or numerical computations on factorial and double factorial functions.