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The probability integrals  ,  ,  , and  are the particular cases of two more general functions: hypergeometric and Meijer G functions.
For example, they can be represented through the confluent hypergeometric functions  and  :
Representations of the probability integrals  ,  ,  , and  through classical Meijer G functions are rather simple:
The factor  in the last four formulas can be removed by changing the classical Meijer G functions to the generalized one:
The probability integrals  ,  ,  , and  are the particular cases of the incomplete gamma function, regularized incomplete gamma function, and exponential integral  :
The probability integrals  ,  , and  can be represented through Fresnel integrals by the following formulas:
The probability integrals and their inverses  ,  ,  ,  ,  ,  , and  are interconnected by the following formulas:
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