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

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

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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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Proof without words: Periodic continued fractions by Chandoul Amara

Subjects: “…continued fractions…”
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Characterizations of Continuous Fractional Bessel Wavelet Transforms by Hari M. Srivastava, Kush Kumar Mishra, Santosh K. Upadhyay

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The Generating Functions for Special Pringsheim Continued Fractions by Ali Hikmet Değer, Ümmügülsün Akbaba

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$q$-DEFORMED RATIONALS AND $q$-CONTINUED FRACTIONS by SOPHIE MORIER-GENOUD, VALENTIN OVSIENKO

“…We introduce a notion of $q$-deformed rational numbers and $q$-deformed continued fractions. A $q$-deformed rational is encoded by a triangulation of a polygon and can be computed recursively. …”
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Revisiting the Dynamics of Two-Body Problem in the Framework of the Continued Fraction Potential by Sergey Ershkov, Ghada F. Mohamdien, M. Javed Idrisi, Elbaz I. Abouelmagd

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Continued Fraction Expansions of Stable Discrete-Time Systems of Difference Equations by Ziad Zahreddine

“…We provide a systematic procedure for generating the coefficients of the continued fraction expansion of the test function associated with the characteristic polynomial of a stable system of difference equations. …”
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On the convergence criterion for branched continued fractions with independent variables by R.I. Dmytryshyn

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Extreme Value Theory for Hurwitz Complex Continued Fractions by Maxim Sølund Kirsebom

Subjects: “…complex continued fractions…”
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A certain method of construction of Thiele-Hermite continued fraction at a point by Mykhailo Pahirya, Yuliia Myslo

Subjects: “…continued fraction…”
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On convergence of branched continued fraction expansions of Horn's hypergeometric function $H_3$ ratios by T.M. Antonova

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