Finite Series Representation of the Inverse Mittag-Leffler Function

Table 13

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/4,2(𝑤).

𝑘	𝑏𝑘
1	1.1330030963193463474
2	1.0941001823904933774
3	1.0884969259036715641
4	1.0878558386282093564
5	1.0879299260072536857
6	1.0880196901607404297
7	1.0880580603477134188
8	1.0880679256317365431
9	1.0880681582727259222
10	1.0880666922539625425
11	1.0880656824079111948
12	1.0880652661105853859
13	1.0880651718209129462
14	1.0880651893915501135
15	1.0880652225919339689
16	1.0880652438081294238
17	1.0880652525894990987
18	1.0880652545116835036
19	1.0880652539426656281
20	1.0880652530160160191
21	1.0880652524013356965
22	1.0880652521279001619
23	1.0880652520573054501
24	1.0880652520688854981
25	1.0880652520973313877
26	1.0880652521186658457
27	1.0880652521294678814
28	1.0880652521330822285
29	1.0880652521332880539
30	1.0880652521324663677
31	1.0880652521316757550
32	1.0880652521311980579
33	1.0880652521309915951
34	1.0880652521309409874
35	1.0880652521309543925
36	1.0880652521309814562
37	1.0880652521310025596
38	1.0880652521310142006
39	1.0880652521310188181
40	1.0880652521310196801
41	1.0880652521310191068
42	1.0880652521310183025
43	1.0880652521310177100
44	1.0880652521310173883
45	1.0880652521310172608
46	1.0880652521310172369
47	1.0880652521310172534
48	1.0880652521310172768
49	1.0880652521310172946
50	1.0880652521310173047
51	1.0880652521310173090
52	1.0880652521310173101
53	1.0880652521310173098
54	1.0880652521310173091
55	1.0880652521310173086
56	1.0880652521310173082
57	1.0880652521310173081
58	1.0880652521310173080
59	1.0880652521310173080
60	1.0880652521310173080
61	1.0880652521310173080
62	1.0880652521310173080
63	1.0880652521310173081