Abstract
Suppose P(z) is any real polynomial with all its zeros inside the unit circle and W maps the unit circle onto the open left half plane. It is proven that under certain conditions P(z) can be decomposed as P(z) = P 1(z)+P 2(z) where the ratio of P 1(z) and P 2(z) has a positive coefficient continued fraction expansion in W and another expansion in W -1 . In addition, it is shown that under certain conditions the ratio of P 1(z) and P 2(z) has positive coefficient continued fraction expansions in two functions. Some illustrative examples are given.
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