Finite Series Representation of the Inverse Mittag-Leffler Function

Table 14

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/5,2(𝑤).

𝑘	𝑏𝑘
1	1.1018024908797127327
2	1.0767885838427981399
3	1.0738409976565079202
4	1.0735918587371880661
5	1.0736317220842957450
6	1.0736613247947013790
7	1.0736705276938335590
8	1.0736719763838959650
9	1.0736717194169915685
10	1.0736714224350730386
11	1.0736712961819915731
12	1.0736712656573585536
13	1.0736712658337183805
14	1.0736712703837243345
15	1.0736712730893571885
16	1.0736712740367576320
17	1.0736712741927198324
18	1.0736712741349301121
19	1.0736712740710214284
20	1.0736712740390593289
21	1.0736712740290815387
22	1.0736712740281108537
23	1.0736712740292769055
24	1.0736712740302628755
25	1.0736712740307308734
26	1.0736712740308721433
27	1.0736712740308820173
28	1.0736712740308614201
29	1.0736712740308445464
30	1.0736712740308363495
31	1.0736712740308337294
32	1.0736712740308334598
33	1.0736712740308337982
34	1.0736712740308341087
35	1.0736712740308342730
36	1.0736712740308343326
37	1.0736712740308343434
38	1.0736712740308343390
39	1.0736712740308343332
40	1.0736712740308343296
41	1.0736712740308343281
42	1.0736712740308343277
43	1.0736712740308343277
44	1.0736712740308343278
45	1.0736712740308343278
46	1.0736712740308343279