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The differentiated gamma functions  ,  ,  , and  are particular cases of the more general hypergeometric and Meijer G functions. Although the arguments of these functions do not depend on the variable  , it is included in their parameters.
For example,  ,  ,  , and  can be represented through generalized hypergeometric functions  by the following formulas:
The aforementioned general formulas can be rewritten using the classical Meijer G functions as follows:
The differentiated gamma functions  ,  ,  , and  can be represented through derivatives of the gamma function  :
The differentiated gamma functions  ,  ,  , and  can also be represented through derivatives of the logarithm of the gamma function  :
The functions  and  are intimately related to the Hurwitz zeta function  and the Bernoulli polynomials and numbers  ,  by the formulas:
The differentiated gamma functions  ,  ,  , and  are interconnected through the following formulas:
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