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Python | sympy.rf() method

  • Last Updated : 14 Jul, 2019

With the help of sympy.rf() method, we can find the Rising factorial. Rising factorial is defined by –

 rf(x, k) = x \cdot (x+1) \cdots (x+k-1)

where x can be arbitrary expression and k is an integer.

Syntax: rf(x, k)

Parameter:
x – It denotes any arbitrary expression.
k – It denotes an integer.

Returns: Returns rising factorial corresponding to the given inputs.



Example #1:




# import sympy 
from sympy import * 
  
x = symbols('x')
k = 5
print("Value of x = {} and k = {}".format(x, k))
   
# Use sympy.rf() method 
rf_x_k = rf(x, k)  
      
print("Rising factorial rf(x, k) : {}".format(rf_x_k))  

Output:

Value of x = x and k = 5
Rising factorial rf(x, k) : x*(x + 1)*(x + 2)*(x + 3)*(x + 4)

Example #2:




# import sympy 
from sympy import * 
  
x = 7
k = 5
print("Value of x = {} and k = {}".format(x, k))
   
# Use sympy.rf() method 
rf_x_k = rf(x, k)  
      
print("Rising factorial rf(x, k) : {}".format(rf_x_k))  

Output:

Value of x = 7 and k = 5
Rising factorial rf(x, k) : 55440

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