Finite Series Representation of the Inverse Mittag-Leffler Function

Table 8

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/6,1(𝑤).

𝑘	𝑏𝑘
1	+0.92771933363003920070
2	+0.89414577241424278746
3	+0.88773763213642664587
4	+0.88628977973846244289
5	+0.88596635420228565868
6	+0.88590523526021224793
7	+0.88589982030554044972
8	+0.88590275825406298752
9	+0.88590511036557706322
10	+0.88590621213903655148
11	+0.88590660928393383455
12	+0.88590671636180511607
13	+0.88590672946995710075
14	+0.88590672153714995480
15	+0.88590671360108075777
16	+0.88590670912379822800
17	+0.88590670718459732010
18	+0.88590670653013358196
19	+0.88590670638937664049
20	+0.88590670640476657586
21	+0.88590670644420859302
22	+0.88590670647244801433
23	+0.88590670648712373933
24	+0.88590670649321013736
25	+0.88590670649512780068
26	+0.88590670649542543061
27	+0.88590670649526508181
28	+0.88590670649506835081
29	+0.88590670649493875951
30	+0.88590670649487287445
31	+0.88590670649484578753
32	+0.88590670649483743413
33	+0.88590670649483637544
34	+0.88590670649483735333
35	+0.88590670649483843570
36	+0.88590670649483914752
37	+0.88590670649483951597
38	+0.88590670649483967198
39	+0.88590670649483972248
40	+0.88590670649483973021
41	+0.88590670649483972509
42	+0.88590670649483971872
43	+0.88590670649483971430
44	+0.88590670649483971188
45	+0.88590670649483971080
46	+0.88590670649483971040
47	+0.88590670649483971032
48	+0.88590670649483971034
49	+0.88590670649483971037
50	+0.88590670649483971040
51	+0.88590670649483971042
52	+0.88590670649483971043