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Some identities of G-continued fractions and generalized continued fractions
Journal of Computational and Applied Mathematics, 1994 Generalized continued fractions and \(G\)-continued fractions are two different types of generalizations of continued fractions, the first one due to M. G. de Bruin, the second one introduced by P. Levrie and R. Piessens. Both types are related to higher order linear recurrence relations (whereas the ordinary ones are related to second order relations).
Paul Levrie
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Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion
Advances in Difference Equations, 2019 In the literature, many generalizations of continued fractions have been introduced, and for each of them, convergence results have been proved. In this paper, we suggest a definition of generalized continued fractions which covers a great variety of ...
Hendrik Baumann
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On the generalized continued fractions
New Trends in Mathematical Science, 2019 We introduce a class of continued fractions called Oppenhei m continued fractions (OCF). Basic properties of these expansions are discussed and studied in the formal powers se rie case.
Amara Chandoul, Fahad Aljuaydi
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A Pincherle-Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
Journal of Applied MathematicsThis contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras.
Hendrik Baumann, Thomas Hanschke
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Generalized palindromic continued fractions [PDF]
Rocky Mountain Journal of Mathematics, 2018 11 pages, no figures.
David M Freeman
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‘Classical’ convergence theorems for generalized continued fractions [PDF]
Numerical Algorithms, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcel G De Bruin
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Generalized Orthogonality and Continued Fractions
Journal of Approximation Theory, 1995 The connection between continued fractions and orthogonality which is familiar for $J$-fractions and $T$-fractions is extended to what we call $R$-fractions of type I and II. These continued fractions are associated with recurrence relations that correspond to multipoint rational interpolants. A Favard type theorem is proved for each type.
Ismail, M.E.H., Masson, D.R.
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Generalized continued fractions and ergodic theory
Journal of Mathematical Sciences, 1999 A standard theory of one-dimensional continued fractions is based on the sequential application of the so-called Gauss map and the comparison of the result to zero. The author proposes a generalization of this procedure to the case when one uses some other map, say \(A\), and an arbitrary stopping rule (e.g., the comparison to a given value \(\omega ...
L. Pustyl'nikov
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Residential proximity to nuclear power plants and cancer incidence in Massachusetts, USA (2000–2018) [PDF]
Environmental HealthPurpose To investigate the associations between residential proximity to nuclear power plants and ZIP code–level cancer incidence among Massachusetts residents.
Yazan Alwadi +6 more
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Generation of Digital Planes Using Generalized Continued-Fractions Algorithms
Lecture Notes in Computer Science, 2016 D. Jamet +2 more
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