Finite Series Representation of the Inverse Mittag-Leffler Function

Table 9

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

𝑘	𝑏𝑘
1	+0.94174269984970148808
2	+0.92145833616345434435
3	+0.91837205036733785079
4	+0.91782768940815950206
5	+0.91773538138444524775
6	+0.91772307499596115692
7	+0.91772281742094063440
8	+0.91772345536444575339
9	+0.91772376557618704885
10	+0.91772386504763452141
11	+0.91772388849585357984
12	+0.91772389156330350231
13	+0.91772389092194344445
14	+0.91772389025312412600
15	+0.91772388994408363001
16	+0.91772388984022900150
17	+0.91772388981468002747
18	+0.91772388981165650624
19	+0.91772388981289452457
20	+0.91772388981401655984
21	+0.91772388981455209678
22	+0.91772388981474237399
23	+0.91772388981479260777
24	+0.91772388981479946414
25	+0.91772388981479716385
26	+0.91772388981479476203
27	+0.91772388981479352017
28	+0.91772388981479304158
29	+0.91772388981479290058
30	+0.91772388981479287486
31	+0.91772388981479287784
32	+0.91772388981479288351
33	+0.91772388981479288690
34	+0.91772388981479288835
35	+0.91772388981479288884
36	+0.91772388981479288896
37	+0.91772388981479288897
38	+0.91772388981479288896
39	+0.91772388981479288895
40	+0.91772388981479288894