Table 2 Comparison of the order of convexity given by Theorems 2.2 and 2.4
From: On some geometric properties for the combination of generalized Lommel–Wright function
μ | ν | λ | m | \(A:=\widetilde{\beta }_{\max }\) Theorem 2.2 | \(B:=\widehat{\beta }_{\max }\) Theorem 2.4 | A − B ≤ 0 |
|---|---|---|---|---|---|---|
1 | 1 | 90 | 2 | 0.99999803110440570718 | 0.99999737481228676390 | false |
1 | 1 | 60 | 5 | 0.99999999997135489658 | 0.99999999996180652878 | false |
2 | 4 | 90 | 6 | 0.99999999999999971037 | 0.99999999999996292697 | false |
2 | 4 | 60 | 2 | 0.99999990603320991858 | 0.99999173086604042377 | false |
1 | 3 | 70 | 5 | 0.99999999998876513662 | 0.99999999998502018216 | false |
1 | 3 | 50 | 4 | 0.99999999589402028998 | 0.99999999452536041351 | false |