Table 1 Comparison of the order of starlikeness given by Theorems 2.1 and 2.3
From: On some geometric properties for the combination of generalized Lommel–Wright function
μ | ν | λ | m | \(A:=\widetilde{\alpha }_{\max }\) Theorem 2.1 | \(B:=\widehat{\alpha }_{\max }\) Theorem 2.3 | A − B ≤ 0 |
|---|---|---|---|---|---|---|
1 | 1 | 20 | 3 | 0.99999630843873496490 | 0.99999631884528808850 | true |
1 | 1 | 40 | 3 | 0.99999974069866645409 | 0.99999974090403376158 | true |
1 | 1 | 75 | 3 | 0.99999997780611645794 | 0.99999997781140602240 | true |
2 | 6 | 30 | 3 | 0.99999998209380420596 | 0.99999931958308410376 | false |
3 | 6 | 60 | 3 | 0.99999999998948912236 | 0.99999995068295983574 | false |
4 | 6 | 80 | 3 | 0.99999999999997698708 | 0.99999998377865092704 | false |