Finite Series Representation of the Inverse Mittag-Leffler Function

Table 16

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/7,2(𝑤).

𝑘	𝑏𝑘
1	1.0690715004486243979
2	1.0562222079392582146
3	1.0551161172778792415
4	1.0550572191430135037
5	1.0550686438367760540
6	1.0550735765579806638
7	1.0550745305844060375
8	1.0550745824286880798
9	1.0550745442484434695
10	1.0550745270114378657
11	1.0550745231398621545
12	1.0550745229039529066
13	1.0550745231150647888
14	1.0550745232236878646
15	1.0550745232523526379
16	1.0550745232552728533
17	1.0550745232539308640
18	1.0550745232530327777
19	1.0550745232527427584
20	1.0550745232526945061
21	1.0550745232527008669
22	1.0550745232527090401
23	1.0550745232527124342
24	1.0550745232527132611
25	1.0550745232527133099
26	1.0550745232527132427
27	1.0550745232527132021
28	1.0550745232527131884
29	1.0550745232527131859
30	1.0550745232527131861
31	1.0550745232527131865
32	1.0550745232527131867
33	1.0550745232527131868