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• W2963886013 abstract "In this work, a sequence of orthonormal rational functions that is also biorthogonal to another sequence of rational functions arising from recurrence relations of $R_{II}$ type is constructed. The biorthogonality is proved by a procedure which we call Zhedanov method. A particular case of a sequence of orthonormal rational functions having denominators of special form is considered to motivate the general case. The particular case provides a Christoffel type transformation of the generalized eigenvalue problem with a reformulation different from the existing literature." @default.
• W2963886013 created "2019-07-30" @default.
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• W2963886013 date "2019-03-15" @default.
• W2963886013 modified "2023-09-23" @default.
• W2963886013 title "Biorthogonal rational functions of $R_{II}$-type" @default.
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• W2963886013 doi "https://doi.org/10.1090/proc/14443" @default.
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