Results 51 to 60 of about 147,754 (277)

Multivariate reciprocal differences for branched Thiele continued fraction expansions

open access: yesJournal of Computational and Applied Mathematics, 1988
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.
openaire   +3 more sources

Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions

open access: yesAxioms, 2023
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
doaj   +1 more source

Equivariant embeddings of rational homology balls [PDF]

open access: yes, 2018
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
core   +2 more sources

A class of knots with simple $SU(2)$ representations

open access: yes, 2017
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
core   +1 more source

Computer methods for calculating tuple solutions of polynomial matrix equations [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2020
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
doaj   +1 more source

The Euler-Minding series for branched continued fractions

open access: yesJournal of Computational and Applied Mathematics, 1987
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 \(C(i,j)=K\{a(i,k),b(i,k);j\}\).
openaire   +3 more sources

Strength through diversity: how cancers thrive when clones cooperate

open access: yesMolecular Oncology, EarlyView.
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

open access: yes, 2015
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
core   +1 more source

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