Finite Series Representation of the Inverse Mittag-Leffler Function

Table 11

Coefficients 𝑏_𝑘 for the inverse Mittag-Leffler function −𝑧=𝐸⁻¹_1/10,1(𝑤).

𝑘	𝑏𝑘
1	+0.95135076986687318362
2	+0.93777687277778653379
3	+0.93606310059788083658
4	+0.93581557876046714164
5	+0.93578185282959558380
6	+0.93577844037062189666
7	+0.93577848991569929215
8	+0.93577864855859718780
9	+0.93577870513836571828
10	+0.93577871876872861069
11	+0.93577872101504047108
12	+0.93577872110471635717
13	+0.93577872099247192203
14	+0.93577872093543535964
15	+0.93577872091738487402
16	+0.93577872091324677459
17	+0.93577872091268732351
18	+0.93577872091275010310
19	+0.93577872091282731969
20	+0.93577872091286047983
21	+0.93577872091287052264
22	+0.93577872091287272009
23	+0.93577872091287295145
24	+0.93577872091287287167
25	+0.93577872091287280852
26	+0.93577872091287278263
27	+0.93577872091287277485
28	+0.93577872091287277316
29	+0.93577872091287277300
30	+0.93577872091287277308
31	+0.93577872091287277314
32	+0.93577872091287277317