Γ(x) = (x-1)!

log(Γ(x)) = log((x-1)!)

输入：12
结果：17.502307845873887

输入：-12
结果：“ValueError: math domain error”

输入：0
结果：“ValueError: math domain error”

输入：-0.2
结果：1.761497590833938

math.lgamma(x)

#导入math库
import math

#正整数的log gamma
x1 = 10
print(math.lgamma(x1))

#负复数数字的log gamma
x2 = -1.2
print(math.lgamma(x2))

#正复数数字的log gamma
x3 = 3.4
print(math.lgamma(x3))

12.801827480081467
1.5791760340399836
1.0923280598027416

# 导入数学库
import math

#正整数的对数伽玛函数
x1 = math.gamma(10)
print(math.log(x1))

#负复数的对数伽玛函数
x2 = math.gamma(-1.2)
print(math.log(x2))

#正复数的对数伽玛函数
x3 = math.gamma(3.4)
print(math.log(x3))

12.801827480081469
1.5791760340399839
1.0923280598027414

# 导入数学库
import math

def factorial(n):
   if n == 1:
      return 1
   else:
      return n*factorial(n-1)

#正整数的对数伽玛函数
x1 = 10
y1 = factorial(x1-1)
print(math.log(y1))

x2 = 3
y2 = factorial(x2-1)
print(math.log(y2))

#正复数的对数伽玛函数
x3 = 3.4
y3 = factorial(x3-1)
print(math.log(y3))

12.801827480081469
0.6931471805599453
RecursionError: maximum recursion depth exceeded in comparison