Finite Series Representation of the Inverse Mittag-Leffler Function

Table 17

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/8,2(𝑤).

𝑘	𝑏𝑘
1	1.0594605373309141740
2	1.0495986360361847141
3	1.0488511439374145246
4	1.0488179924913977120
5	1.0488245771415334177
6	1.0488269350920946859
7	1.0488273133611761220
8	1.0488273231954621562
9	1.0488273085970012075
10	1.0488273034622550713
11	1.0488273025690472404
12	1.0488273025660372711
13	1.0488273026212509980
14	1.0488273026418176097
15	1.0488273026458036695
16	1.0488273026458799051
17	1.0488273026456156560
18	1.0488273026455029277
19	1.0488273026454771037
20	1.0488273026454752946
21	1.0488273026454766352
22	1.0488273026454773654
23	1.0488273026454775715
24	1.0488273026454775998
25	1.0488273026454775944
26	1.0488273026454775895
27	1.0488273026454775877
28	1.0488273026454775873