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The incomplete gamma functions  ,  ,  , and  are particular cases of the more general hypergeometric and Meijer G functions.
For example, they can be represented through hypergeometric functions  and  or the Tricomi confluent hypergeometric function  :
These functions also have rather simple representations in terms of classical Meijer G functions:
The log‐gamma function  can be expressed through polygamma and zeta functions by the following formulas:
The gamma functions  ,  ,  , and  can be represented using the related exponential integral  by the following formulas:
The gamma functions  ,  ,  , and  are connected with the inverse of the regularized incomplete gamma function  and the inverse of the generalized regularized incomplete gamma function  by the following formulas:
The gamma functions  ,  ,  ,  ,  , and  are connected with each other by the formulas:
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