Abstract
in which the coefficients ap, bp are complex numbers, and z is a complex parameter, have been called J-fractions because of their connection with the infinite matrices known as J-matrices. The theory of J-fractions with real coefficients includes the Stieltjes continued fraction theory and certain of its extensions. In a recent paper, Hellinger and Wall [3 ](1) treated the case where ap is real and bp is an arbitrary complex number with nonnegative imaginary part. In these cases, the J-fraction obviously has the property that all the quadratic forms
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