Resurgence of the fractional polylogarithms
Resurgence of the fractional polylogarithms
The fractional polylogarithms, depending on a complex parameter α, are defined by a series which is analytic inside the unit disk.After an elementary conversion of the series into an integral presentation, we show that the fractional polylogarithms are multivalued analytic functions in the complex plane minus 0 and 1.For non-integer …