[123.8.1] The -function of order and with parameters , , , and is defined for by the contour integral [5, 32]

(14) |

where the integrand is

(15) |

[123.8.2] In (14) and is not necessarily the principal value. [123.8.3] The integers must satisfy

(16) |

and empty products are interpreted as being unity. [123.8.4] For the conditions on the other parameters and the path of integration the reader is referred to the literature [5] (see [13, p.120ff] for a brief summary).