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

Table 1

Comparison of bounds for 𝑏 in Example 1.

Value of  𝐴	Used formula	Bound
𝐴=1	𝐿^10{𝑥/𝑏}(𝑏)	𝑏<1.072
	𝐿^15{Φ}(𝑏)	𝑏>1.0635
	𝐿^17{Φ}(𝑏)	𝑏>1.0637
	Brown and Hinton	𝑏>1.0635
𝐴=3	𝐿^6{𝑥/𝑏}(𝑏)	𝑏<0.712
	𝐿^9{Φ}(𝑏)	𝑏>0.7020
	𝐿^12{Φ}(𝑏)	𝑏>0.7025
	Brown and Hinton	𝑏>0.7020
𝐴=5	𝐿^6{𝑥/𝑏}(𝑏)	𝑏<0.580
	𝐿^8{Φ}(𝑏)	𝑏>0.5707
	𝐿^12{Φ}(𝑏)	𝑏>0.5712
	Brown and Hinton	𝑏>0.5707