Results 51 to 60 of about 147,754 (277)
Multivariate reciprocal differences for branched Thiele continued fraction expansions
For a multivariate function a Viscovatov-like algorithm for the construction of a branched continued fraction expansion was developed independently by \textit{J. A Murphy} and \textit{M. R. O'Donohoe} [ibid. 4, 181-190 (1978; Zbl 0407.40002)] and by \textit{K. J. Kuchminskaya} [Dopov. Akad. Nauk Ukr. RSR, Ser.
Cuyt, Annie A.M., Verdonk, B.
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
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On stability to perturbations of branched continued fractions with complex elements
D. І. Bodnar, Volodymyr Hladun
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Equivariant embeddings of rational homology balls [PDF]
We generalise theorems of Khodorovskiy and Park-Park-Shin, and give new topological proofs of those theorems, using embedded surfaces in the 4-ball and branched double covers.
Owens, Brendan
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Bivariate thiele-type branched continued fraction and general order Padé approximation
Zhang Guofeng
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A class of knots with simple $SU(2)$ representations
We call a knot in the 3-sphere $SU(2)$-simple if all representations of the fundamental group of its complement which map a meridian to a trace-free element in $SU(2)$ are binary dihedral. This is a generalisation of being a 2-bridge knot.
Zentner, Raphael
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Computer methods for calculating tuple solutions of polynomial matrix equations [PDF]
Schemes are presented for calculating tuples of solutions of matrix polynomial equations using continued fractions. Despite the fact that the simplest matrix equations were solved in the second half of the 19th century, and the problem of multiplier ...
J. Dorożyński, M. Nedashkovskyy
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The Euler-Minding series for branched continued fractions
For suitable x(k) (k\(\geq 1)\) and y(k) (k\(\geq 0)\) denote the continued fraction \(y(0)+x(1)/y(1)+...x(j)/y(j)\) by \(K\{\) x(k),y(k);j\(\}\). With twin sequences a(i,k) (k\(\geq 1)\) and b(i,k) (k\(\geq 0)\) prescribed for \(i\geq 0\), let \(C(i,j)=K\{a(i,k),b(i,k);j\}\).
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Strength through diversity: how cancers thrive when clones cooperate
Intratumor heterogeneity can offer direct benefits to the tumor through cooperation between different clones. In this review, Kuiken et al. discuss existing evidence for clonal cooperativity to identify overarching principles, and highlight how novel technological developments could address remaining open questions.
Marije C. Kuiken +3 more
wiley +1 more source
Repeated boundary slopes for 2-bridge knots
We investigate the question of when distinct branched surfaces in the complement of a 2-bridge knot support essential surfaces with identical boundary slopes.
Curtis, Cynthia L. +3 more
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