With the help of sympy.gammasimp() method, we can simplify expressions with gamma functions or combinatorial functions with non-integer argument
Syntax: gammasimp(expression)
Parameter:
expression – It is the mathematical expression which needs to be simplified.Returns: Returns a simplified mathematical expression corresponding to the input.
Example #1:
# import sympy from sympy import * x = symbols('x') expr = gamma(x)*gamma(1 - x) print("Expression = {}".format(expr)) # Use sympy.gammasimp() method simple_expr = gammasimp(expr) print("Simplified Expression : {}".format(simple_expr)) |
Output:
Expression = gamma(x)*gamma(1 - x) Simplified Expression : pi/sin(pi*x)
Example #2:
# import sympy from sympy import * x = symbols('x') expr = gamma(x + 1)/gamma(x - 1) print("Expression = {}".format(expr)) # Use sympy.gammasimp() method simple_expr = gammasimp(expr) print("Simplified Expression : {}".format(simple_expr)) |
Output:
Expression = gamma(x + 1)/gamma(x - 1) Simplified Expression : x*(x - 1)
