mars.tensor.special.beta#

mars.tensor.special.beta(a, b, out=None, **kwargs)[源代码]#

Beta function.

This function is defined in 1 as

\[B(a, b) = \int_0^1 t^{a-1}(1-t)^{b-1}dt = \frac{\Gamma(a)\Gamma(b)}{\Gamma(a+b)},\]

where \(\Gamma\) is the gamma function.

参数

  • a (array-like) – Real-valued arguments

  • b (array-like) – Real-valued arguments

  • out (ndarray, optional) – Optional output array for the function result

返回

Value of the beta function

返回类型

scalar or ndarray

参见

gamma

the gamma function

betainc

the incomplete beta function

betaln

the natural logarithm of the absolute value of the beta function

引用

1

NIST Digital Library of Mathematical Functions, Eq. 5.12.1. https://dlmf.nist.gov/5.12