Finite Series Representation of the Inverse Mittag-Leffler Function

Table 10

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/9,1(𝑤).

𝑘	𝑏𝑘
1	0.94696534880216399450
2	0.93053890407728875727
3	0.92827170167793346183
4	0.92791158668373485876
5	0.92785715845937955393
6	0.92785088338236675169
7	0.92785088003507065240
8	0.92785119095520099570
9	0.92785131874466606751
10	0.92785135396452045173
11	0.92785136086263488623
12	0.92785136142419633245
13	0.92785136114025016525
14	0.92785136095166820529
15	0.92785136088086115418
16	0.92785136086138201458
17	0.92785136085777479380
18	0.92785136085772523465
19	0.92785136085805437723
20	0.92785136085823967523
21	0.92785136085830846162
22	0.92785136085832754930
23	0.92785136085833100710
24	0.92785136085833091281
25	0.92785136085833047865
26	0.92785136085833023736
27	0.92785136085833014532
28	0.92785136085833011870
29	0.92785136085833011354
30	0.92785136085833011358
31	0.92785136085833011420
32	0.92785136085833011458
33	0.92785136085833011473
34	0.92785136085833011478
35	0.92785136085833011479