Fig. 11

The behavior of the auxiliary factors θ(∆β) and φ(∆α). This plot presents the behavior of the auxiliary factors θ(∆β) and φ(∆α) defined by equations 24 and 25 respectively. Both ∆α and ∆β vary in the horizontal axis. Similarly the variations of θ(∆β) and φ(∆α) are projected in the vertical axis. We assumed that the order relationships 0 < β < α, and |∆β| < β, hold. Therefore, θ(∆β) remains positive and decreases and in turn we have φ(−α) = 0, and also that φ(∆α) remains positive and increasing for ∆α >−α. Particularly, for ∆α = ∆β = 0, we have φ(∆α) = θ(∆β) = 1