Chain sequences and orthogonal polynomials

@inproceedings{Chihara1962ChainSA,
  title={Chain sequences and orthogonal polynomials},
  author={Takashi Chihara},
  year={1962}
}
and the above results also follow from the classical theory of continued fractions (for example, see [10] and the remarks in [5]). In view of this, it seems natural to attempt a study of the properties of the polynomials, Pn(x), as determined by the coefficients, cn and Xn. One approach to such an investigation is of course through the study of the convergence of the continued fraction (1.3). In this paper, however, we shall avoid direct reference to the theory of continued fractions although… CONTINUE READING

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