Analytic expressions for continued fractions over a vector space
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- by F. A. Roach PDF
- Proc. Amer. Math. Soc. 56 (1976), 135-139 Request permission
Abstract:
In previous papers, we considered continued fractions obtained from a type of “geometric reciprocal". In this paper we develop certain “analytical” formulas for such continued fractions and, by using these formulas, obtain results analogous to certain classical theorems for ordinary continued fractions.References
- F. A. Roach, Continued fractions over an inner product space, Proc. Amer. Math. Soc. 24 (1970), 576–582. MR 412654, DOI 10.1090/S0002-9939-1970-0412654-5
- F. A. Roach, The parabola theorem for continued fractions over a vector space, Proc. Amer. Math. Soc. 28 (1971), 137–146. MR 275004, DOI 10.1090/S0002-9939-1971-0275004-4
- H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 135-139
- MSC: Primary 30A22
- DOI: https://doi.org/10.1090/S0002-9939-1976-0404599-7
- MathSciNet review: 0404599