Finite Series Representation of the Inverse Mittag-Leffler Function

Table 6

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/4,1(𝑤).

𝑘	𝑏𝑘
1	0.90640247705547707798
2	0.84026894007589891391
3	0.82351018992990700207
4	0.81828957550795105766
5	0.81660707076917509278
6	0.81610221036029616113
7	0.81598545033147361884
8	0.81598379842062516042
9	0.81600622129819404882
10	0.81602620538545447950
11	0.81603889114688882765
12	0.81604558885224673170
13	0.81604856137343865455
14	0.81604957197906280172
15	0.81604970482268525625
16	0.81604953186530296411
17	0.81604931188945210690
18	0.81604913762546883873
19	0.81604902563306262589
20	0.81604896432490207114
21	0.81604893634591082941
22	0.81604892711529213868
23	0.81604892680747229621
24	0.81604892974411138067
25	0.81604893311589531898
26	0.81604893581695267902
27	0.81604893761527447364
28	0.81604893864655309011
29	0.81604893914547956993
30	0.81604893932600511441
31	0.81604893934331182207
32	0.81604893929407644732
33	0.81604893923044766688
34	0.81604893917568606393
35	0.81604893913673190214
36	0.81604893911270302848
37	0.81604893909990779088
38	0.81604893909439699044
39	0.81604893909300259361
40	0.81604893909356459299
41	0.81604893909479532456
42	0.81604893909603395768
43	0.81604893909701259830
44	0.81604893909767829618
45	0.81604893909807584283
46	0.81604893909827997471
47	0.81604893909836178143
48	0.81604893909837594019
49	0.81604893909835900689
50	0.81604893909833251654
51	0.81604893909830737526
52	0.81604893909828785893
53	0.81604893909827462118
54	0.81604893909826667548
55	0.81604893909826254932
56	0.81604893909826086189
57	0.81604893909826054632
58	0.81604893909826087970
59	0.81604893909826142714
60	0.81604893909826196124
61	0.81604893909826238717
62	0.81604893909826268505
63	0.81604893909826287085
64	0.81604893909826297283
65	0.81604893909826301912
66	0.81604893909826303243
67	0.81604893909826302882
68	0.81604893909826301846
69	0.81604893909826300704
70	0.81604893909826299725
71	0.81604893909826298997
72	0.81604893909826298513
73	0.81604893909826298224
74	0.81604893909826298074
75	0.81604893909826298012
76	0.81604893909826298002
77	0.81604893909826298015
78	0.81604893909826298038
79	0.81604893909826298060
80	0.81604893909826298078
81	0.81604893909826298092
82	0.81604893909826298100
83	0.81604893909826298105
84	0.81604893909826298108
85	0.81604893909826298109
86	0.81604893909826298109
87	0.81604893909826298109
88	0.81604893909826298109
89	0.81604893909826298108
90	0.81604893909826298108
91	0.81604893909826298108
92	0.81604893909826298107