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The Fresnel integrals  and  are particular cases of the more general functions: hypergeometric and Meijer G functions.
For example, they can be represented through regularized hypergeometric functions  :
These two integrals can also be expressed through generalized and classical Meijer G functions:
The first two formulas are simpler than the last two classical representations (which include factors like  ).
The Fresnel integrals  and  can be represented through a combination of probability integrals  with corresponding values of  ,  , and  :
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