Four theorems below are not original but serve as a small reference guide indicating
the usefulness of the Meijer G function to solving integration problems. These
theorems are very general since many special functions can be represented as
Theorem. (Indefinite Integration.)
Theorem. (One G Function.)
where
Theorem. (Two G Functions.)
where
Theorem. (Cauchy Principal Value Integral.)
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Integration Theorems
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functions. We omit some rather complicated technical conditions on parameters
which appear in the last three theorems pertaining to definite integration.
Readers may consult section 2.24 of
Integrals and Series Volume 3: More Special Functions
