An Alpha-Beta Phase Diagram Representation of the Zeros and Properties of the Mittag-Leffler Function

Table 4

Reference values in phase [∞/𝑓].

(a) Reference points on the phase boundary line separating phases [∞/2] from [∞/4]

𝛼	𝛽
2	3
2.2276114869	4
2.4245980282	5
2.6013352823	6
2.7631879843	7
2.9134444409	8
3	8.6072783765

(b) Reference points on the phase boundary line separating phases [∞/4] from [∞/6]

𝛼	𝛽
2	3
2.1799836579	4
2.3364037665	5
2.4775449443	6
2.6074522928	7
2.7285611696	8
2.8425033406	9
2.9504465415	10
3	10.4761755002

(c) Reference points on the phase boundary line separating phases [∞/6] from [∞/8]

𝛼	𝛽
2	3
2.1504894698	4
2.2816699180	5
2.4005387002	6
2.5103738032	7
2.6131154583	8
2.7100556595	9
2.8021181175	10
2.8899956024	11
2.9742260037	12
3	12.3140908740

(d) Reference Points on the phase boundary line separating phases [∞/8] from [∞/10]

𝛼	𝛽
2	3
2.1301385540	4
2.2438414409	5
2.3472084518	6
2.4430135894	7
2.5328752160	8
2.6178636961	9
2.6987423420	10
2.7760835480	11
2.8503322845	12
2.9218440026	13
2.9909087735	14
3	14.1341324772