Results 71 to 80 of about 130,314 (163)

Algebraic interpretation of continued fractions

, 1997
An alternative (equivalent) definition of continued fractions in terms of a group representation is introduced. With this definition, continued fractions are considered as sequences in a topological group, converging (in some sense) to its boundary. This
Shapira, Yair
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Generalized Orthogonality and Continued Fractions

, 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 types I and II.
Masson, D.R., Ismail, M.E.H.
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Cluster algebras and continued fractions

, 2017
We establish a combinatorial realization of continued fractions as quotients of cardinalities of sets. These sets are sets of perfect matchings of certain graphs, the snake graphs, that appear naturally in the theory of cluster algebras.
Ralf Schiffler, Schiffler, Ralf, Çanakçı, İlke, İlke Çanakçı   +3 more
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On the numerical stability of the branched continued fraction expansion of the ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Математичні Студії
Continued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn, C. Cesarano, O. Kondur, I.-A. Lutsiv   +3 more
doaj   +1 more source

Continued Fractions

, 1984
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
W. J. Thron, William B. Jones
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Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

Continued Fractions

, 1971
Although at one time \u27the study of continued fractions may have been more commonplace in advanced courses in mathematics, in recent years its importance has diminished due to the vast amount of new material available.
Thompson, John D.
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Arithmetical continued fractions

, 1941
The study of arithmetical continued fractions has been restricted, for the most part, to the investigation of the properties of regular continued fractions and questions of convergence. An important exception to this statement is a paper of Leighton's in
Bankier, James Douglas
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Continued fractions in local fields

, 2023
The theses concerns the topic of p-adic Ruban and Browkin continued frations and their properties. To begin with, the concept of p-adic numbers is introduced and the necessary theory is shown.
Červenková, Eliška
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Continued fractions and infinite series [PDF]

, 2014
The intention of this diploma is to present the concept of continued fractions, their conection with infinite series and some analitical functions. There will be also presented the concept of numerical series.
Skubic, Katja
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