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- W2022249352 abstract "The second-order q-difference equation of a 2ϑ1 and the contiguous relations of 2ϑ1's are used to derive continued fraction expansions for quotients of 2ϑ1's. We identify the cases when these continued fractions are positive definite J-fractions, i.e., the cases when the denominators of the approximants of the J-fractions are orthogonal polynomials. The measures with respect to which the denominator polynomials are orthogonal are found and the orthogonal polynomials are studied in some detail." @default.
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- W2022249352 date "1989-08-01" @default.
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- W2022249352 title "Contiguous relations, basic hypergeometric functions, and orthogonal polynomials, I" @default.
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- W2022249352 doi "https://doi.org/10.1016/0022-247x(89)90182-0" @default.
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