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The following functions are from a book What is the method to convert continuous function to discrete function

Maple code
ContinuousFunction1 := sqrt(2*p)/(s+p);
ContinuousFunction_i := sqrt(2*p)*((s-p)^(i-1))/(s+p)^i;

DiscreteFunction1 := sqrt(1-a^2)/(1-a/z)
DiscreteFunctionN := sqrt(1-a^2)/(1-a/z)*((1/z-a)/(1-a/z))^(N-1)
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