Convergent Disfocality and Nondisfocality Criteria for Second-Order Linear Differential Equations

Table 3

Comparison of bounds for 𝑏 in Example 3.

Value of   𝐶	Used formula	Bound
𝐶=5	𝐿^7{𝑥/𝑏}(𝑏)	𝑏<1.007
	𝐿^10{Φ}(𝑏)	𝑏>0.969
	𝐿^16{Φ}(𝑏)	𝑏>0.972
	Brown and Hinton	𝑏>0.969
𝐶=10	𝐿^5{𝑥/𝑏}(𝑏)	𝑏<0.633
	𝐿^8{Φ}(𝑏)	𝑏>0.609
	𝐿^15{Φ}(𝑏)	𝑏>0.611
	Brown and Hinton	𝑏>0.609
𝐶=20	𝐿^5{𝑥/𝑏}(𝑏)	𝑏<0.415
	𝐿^5{Φ}(𝑏)	𝑏>0.401
	𝐿^14{Φ}(𝑏)	𝑏>0.403
	Brown and Hinton	𝑏>0.401