1. Discrete time IIR filter
from analog filter

2. Chebyshev polynomial for n=3 and R = 1.1 dB
In the polynomial calculated in 9.4
Hlp(s) =0.4656/(s )(s s+0.977)
To convert this normalized LP to desired BS, substitute s s / (s ).
Use BZT in the so obtained polynomial in s.

3. 1. Butterworth filter. Number of poles of LP filter 
= log10 {(10-Gs/10 –1)/ (10-Gp/10 –1)} / 2log10 (s/p)
= log10{(102-1)/( )/2 log10(2.856)
=  3 (for better transition characteristic).
The normalized TF = 1/ (s+1)(s2+s+1)
= 1/ 1+2s+2s2 +s3
Transform normalized LP to required BS
by s s / (s )
USE BZT on the HBS(s).