is the Mellin
transform of a function , is the contour , , , , , and the components of the vectors
and are complex numbers satisfying the conditions , 3/2, 5/2, ... and , -3/2, -5/2, ....
Samko, S. G.; Kilbas, A. A.; and Marichev, O. I. "Definition of the G-Transform. The Spaces and and Their Characterization." §36.1
in Fractional
Integrals and Derivatives. Yverdon, Switzerland: Gordon and Breach, pp. 704-709,
1993.