Table 1 Comparison of the order of starlikeness given by Theorems 1, 3 and 5
From: Generalized Lommel–Wright function and its geometric properties
\(\kappa _{1}\) | \(\kappa _{2}\) | \(\kappa _{3}\) | m | \(\widetilde{\alpha}_{\max}\) Theorem 1 | \(\widetilde{\delta}_{\max}\) Theorem 3 | \(\widetilde{\zeta}_{\max}\) Theorem 5 with minγ |
|---|---|---|---|---|---|---|
3 | 2 | 1 | 2 | 0.97847446275028873123 | 0.98947368421052631578 | 0.99208830838480806639 |
7 | 3 | 1 | 2 | 0.99709879234283707259 | 0.998577524893314366999 | 0.99998335359501052005 |
4 | 3 | 2 | 2 | 0.99886657109218533610 | 0.99944413563090605892 | 0.99958307190258777911 |
9 | 6 | 3 | 2 | 0.99999583595437582265 | 0.99999795751216812126 | 0.99999846813358621261 |
5 | 5 | 3 | 4 | 0.99999908328632086372 | 0.99999955034657038088 | 0.99999966275993086008 |
12 | 10 | 5 | 3 | 0.99999999990421235635 | 0.99999999995301559358 | 0.99999999996476169518 |
14 | 13 | 8 | 5 | 0.99999999999999999717 | 0.99999999999999999861 | 0.99999999999999999896 |