A very general function defined by
where , , , and are Complex Numbers such that the pole of for , 2, ..., coincides with any Pole of for , 2, ..., . In addition , is a Contour in the complex -plane from to such that and lie to the right and left of , respectively.
See also MacRobert's E-Function, Meijer's G-Function
References
Carter, B. D. and Springer, M. D. ``The Distribution of Products, Quotients, and Powers of Independent -Functions.''
SIAM J. Appl. Math. 33, 542-558, 1977.
Fox, C. ``The and -Functions as Symmetrical Fourier Kernels.'' Trans. Amer. Math. Soc. 98,
395-429, 1961.