Finite Series Representation of the Inverse Mittag-Leffler Function

Table 18

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/9,2(𝑤).

𝑘	𝑏𝑘
1	1.0521837208912933272
2	1.0443758743852848005
3	1.0438473880668843474
4	1.0438274217379570018
5	1.0438314036520292794
6	1.0438326220325679883
7	1.0438327879063812056
8	1.0438327888679432382
9	1.0438327828921939645
10	1.0438327811719258151
11	1.0438327809347620508
12	1.0438327809451382984
13	1.0438327809605757500
14	1.0438327809650783542
15	1.0438327809657296823
16	1.0438327809656925712
17	1.0438327809656403057
18	1.0438327809656237760
19	1.0438327809656210337
20	1.0438327809656210870
21	1.0438327809656212900
22	1.0438327809656213646
23	1.0438327809656213797
24	1.0438327809656213804
25	1.0438327809656213796
26	1.0438327809656213792
27	1.0438327809656213791