Active and Passive Realization of Fractance Device of Order 1/2

Table 1

Rational approximations for √𝑠.

S. NO	No. of terms	Rational approximation
1	2	3𝑠+1𝑠+3
2	4	5𝑠^2+10𝑠+1𝑠^2+10𝑠+5
3	6	7𝑠^3+35𝑠^2+21𝑠+1𝑠^3+21𝑠^2+35𝑠+7
4	8	9𝑠^4+84𝑠^3+126𝑠^2+36𝑠+1𝑠^4+36𝑠^3+126𝑠^2+84𝑠+9
5	10	11𝑠^5+165𝑠^4+462𝑠^3+330𝑠^2+55𝑠+1𝑠^5+55𝑠^4+330𝑠^3+462𝑠^2+165𝑠+11