Results 61 to 70 of about 130,314 (163)

Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables

Fractal and Fractional
The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
doaj   +1 more source

Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm

Journal of Inequalities and Applications, 2008
We show that the spectral seminorm is useful to study convergence or divergence of vectorial continued fractions in Banach algebras because such convergence or divergence is related to a spectral property.
M. Amzil, M. Hemdaoui
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The Continued Fraction Structure in Physical Fractal Theory

Fractal and Fractional
The objective of this study is to reveal the intrinsic connection between fractal operators in physical fractal spaces and continued fractions. The specific contributions include: (1) reviewing fundamental concepts of continued fractions and physical ...
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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Modular relations and explicit values of Ramanujan-Selberg continued fractions

International Journal of Mathematics and Mathematical Sciences, 2006
By employing a method of parameterizations for Ramanujan's theta-functions, we find several modular relations and explicit values of the Ramanujan-Selberg continued fractions.
Nayandeep Deka Baruah, Nipen Saikia
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Some convergence regions of branched continued fractions of special form

Karpatsʹkì Matematičnì Publìkacìï, 2013
Some circular and parabolic convergence regions for branched continued fractions of special form are established.
O.E. Baran
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On the expansion of Ramanujan's continued fraction of order sixteen

, 2017
[[abstract]]We give 2-, 4-, 8- and 16-dissections of a continued fraction of order sixteen. We show that the sign of the coeffcients in the power series expansion of the continued fraction of order sixteen is periodic with period 16.
A. Vanitha
core  

Continued Fractions [PDF]

, 1966
The purpose of this paper is to study convergence of certain continued ...
Smith, Harold Kermit, Jr.
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On Euler polynomial continued fractions

, 2023
In this paper, we introduce the polynomial continued fraction, a close relative of the well-known simple continued fraction expansions which are widely used in number theory and in general.
David, Ofir
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Continued Fractions

, 1931
The aim of this thesis is to give the reader a general idea of the two types of continued fractions -- the simple continued fractions and the general continued fractions.
Holmgren, Alma
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On the relationship between generalised continued fractions and G-continued fractions

, 1990
In this paper the connection between generalised continued fractions (de Bruin 1974)) and G-continued fractions (Levrie (1988)) is studied. This connection is used to prove a convergence theorem for generalised continued fractions and to accelerate the ...
Levrie, Paul
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