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Special functions commonly used in drawdown equations:
well function 

leaky aquifer function 

additional error function integral 

special function 

function for slug tests 

Well function for a well of finite diameter 

special function 

Bessel function of the first kind of the zero order 

Bessel function of the first kind of the first order 

Modified Bessel function of the first kind of the zero order 

Modified Bessel function of the second kind of the zero order 

Bessel function of the second kind of the zero order 

Bessel function of the second kind of the first order 

multiple error function integral 
The special functions, that are not listed here are described in related sections.