Branched Continued Fraction Expansions of Horn’s Hypergeometric Function <i>H</i>₃ Ratios by Tamara Antonova, Roman Dmytryshyn, Victoriia Kravtsiv

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Parabolic convergence regions of branched continued fractions of the special form by D.I. Bodnar, I.B. Bilanyk

Subjects: “…branched continued fraction…”
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Continued fractions / by 312595 Olds, C. D.

Subjects: “…Continued fractions…”

On convergence criteria for branched continued fraction by T.M. Antonova

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Approximation of functions of several variables by multidimensional $S$-fractions with independent variables by R.I. Dmytryshyn, S.V. Sharyn

Subjects: “…branched continued fraction…”
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An introduction to continued fractions / by 312065 Moore, Charles Godat

Subjects: “…Continued fractions…”

Approximation of transfer functions by continued fraction expansion. by Louy, Charles.

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On the convergence of multidimensional S-fractions with independent variables by O.S. Bodnar, R.I. Dmytryshyn, S.V. Sharyn

Subjects: “…branched continued fraction…”
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Analytic theory of continued fractions / by 233737 Wall, Hubert Stanley

Subjects: “…Continued fractions…”

Continued fractions in statistical applications / by Bowman, K. O. (Kimiko Osada), Shenton, L. R.

Subjects: “…Continued fractions…”

Metrical theory of continued fractions / by 241401 Iosifescu, Marius, Kraaikamp, Cor

Subjects: “…Continued fractions…”

Continued fractions and the Thomson problem by Pablo Moscato, Mohammad Nazmul Haque, Anna Moscato

“…Using 453 putative optimal configurations, we searched for approximations of the form $$E(n) = (n^2/2) \, e^{g(n)}$$ E ( n ) = ( n 2 / 2 ) e g ( n ) where g(n) was obtained via a memetic algorithm that searched for truncated analytic continued fractions finally obtaining one with Mean Squared Error equal to $${5.5549 \times 10^{-8}}$$ 5.5549 × 10 - 8 for the model of the normalized energy ( $$E_n(n) \equiv e^{g(n)} \equiv 2E(n)/n^2$$ E n ( n ) ≡ e g ( n ) ≡ 2 E ( n ) / n 2 ). …”
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Continued fractions for permutation statistics by Sergi Elizalde

“…By giving a visual representation of this bijection in terms of so-called cycle diagrams, we find simple translations of some statistics on permutations (and subsets of permutations) into statistics on colored Motzkin paths, which are amenable to the use of continued fractions. We obtain new enumeration formulas for subsets of permutations with respect to fixed points, excedances, double excedances, cycles, and inversions. …”
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Markoff numbers, principal ideals and continued fraction expansions by Button, J

Continued Fractions : analytic theory and applications / by 316010 Jones, William B.

Subjects: “…Continued fractions…”

Complex continued fractions with restricted entries by Pawel Hanus, Mariusz Urbanski

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Continued Fractions and Unique Factorization on Digraphs by Giscard, P, Thwaite, S, Jaksch, D

“…We show that the characteristic series of walks (paths) between any two vertices of any finite digraph or weighted digraph G is given by a universal continued fraction of finite depth involving the simple paths and simple cycles of G. …”

Continued fraction expansions for q-tangent and q-cotangent functions by Helmut Prodinger

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2-BAND CONTINUED FRACTION CLUSTER APPROXIMATION FOR DISORDERED ALLOYS by Leung, W, Sherrington, D

Continued Fractions of Higher Order Polygonal Numbers with Respect to Order and Rank by Anitha B., Balamurugan P.

Subjects: “…continued fraction…”
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