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April 18th, 2017, 02:15 AM  #1 
Newbie Joined: Apr 2017 From: Andhra Pradesh, India Posts: 2 Thanks: 0  Inverse of sum of error functions
How to find the inverse function of f(x)=sum_{i=0}^{4} Ai[1+erf((xbi)/ci)] 
April 18th, 2017, 02:31 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,770 Thanks: 626 Math Focus: Yet to find out.  
April 19th, 2017, 10:13 PM  #3 
Newbie Joined: Apr 2017 From: Andhra Pradesh, India Posts: 2 Thanks: 0 
The exact function is f(x)=sgn(x)\sqrt[d]{u\sum\limits_{i=1}^{4} \frac{\sqrt{\pi}a_i c_i}{2} [1+erf(\frac{xb_i}{c_i})]} where d and u are positive constants. x is a complex random variable with magnitudes in the range [0,1]. The exact values are a1 = 0.19; b1 = 0.2512; c1 = 0.003164; a2 = 0.1; b2 = 0.1142; c2 = 0.006324; a3 = 0.14; b3 = 0.3322; c3 = 0.003054; a4 = 0.02778; b4 = 0.2211; c4 = 0.151;


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error, functions, inverse, sum 
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