[647.7.1] We introduce the inverse generalized Mittag-Leffler functions
as the solutions of the equation
![]() |
(43) |
[647.7.2] Our ability to calculate allows
us to evaluate also
by solving
this functional equation numerically.
[647.7.3] We have succeeded to determine the principal
branch of
in such a way that
three conditions are fulfilled.
[647.7.4] 1. The function
is single valued
and well defined on its principal branch.
[647.7.5] 2. Its principal branch reduces to the principal
branch of the logarithm for
.
[647.7.6] 3. Its principal branch is a simply connected
subset of the complex plane.
[647.7.7] Figure 15
shows the principal branch for
the case
,
.