Results 1 to 10 of about 304,574 (217)

A note on the length of some finite continued fractions [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this paper, based on a 2008 result of Lasjaunias, we compute the lengths of simple continued fractions for some rational numbers whose numerators and denominators are explicitly given.
Khalil Ayadi, Chiheb Ben Bechir
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A continued fraction of order twelve

Open Mathematics, 2008
Mahadeva Naika M., Dharmendra B., Shivashankara K.   +2 more
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Branched Continued Fraction Expansions of Horn’s Hypergeometric Function H₃ Ratios

Mathematics, 2021
The paper deals with the problem of construction and investigation of branched continued fraction expansions of special functions of several variables. We give some recurrence relations of Horn hypergeometric functions H3. By these relations the branched
Tamara Antonova, Roman Dmytryshyn, Victoriia Kravtsiv   +2 more
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Parabolic convergence regions of branched continued fractions of the special form

Karpatsʹkì Matematičnì Publìkacìï, 2021
Using the criterion of convergence of branched continued fractions of the special form with positive elements, effective sufficient criteria of convergence for these fractions are established.
D.I. Bodnar, I.B. Bilanyk
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Approximation of functions of several variables by multidimensional $S$-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2021
The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
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Continued Fractions of Higher Order Polygonal Numbers with Respect to Order and Rank [PDF]

E3S Web of Conferences, 2023
Developing number sequence based on polygonal numbers is an enthusiastic field in number theory. As tetrahedral numbers are similar to pyramids, one of the Seven wonders of the World, yields a unique copiousness in its suitability. In number theory study
Anitha B., Balamurugan P.
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Continued Fraction Interpolation of Preserving Horizontal Asymptote

Journal of Mathematics, 2022
The classical Thiele-type continued fraction interpolation is an important method of rational interpolation. However, the rational interpolation based on the classical Thiele-type continued fractions cannot maintain the horizontal asymptote when the ...
Yushan Zhao, Kaiwen Wu, Jieqing Tan
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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 convergence criteria for branched continued fraction

Karpatsʹkì Matematičnì Publìkacìï, 2020
The starting point of the present paper is a result by E.A. Boltarovych (1989) on convergence regions, dealing with branched continued fraction \[\sum_{i_1=1}^N\frac{a_{i(1)}}{1}{\atop+}\sum_{i_2=1}^N\frac{a_{i(2)}}{1}{\atop+}\ldots{\atop+}\sum_{i_n=1}^N\
T.M. Antonova
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On the convergence of multidimensional S-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2020
The paper investigates the convergence problem of a special class of branched continued fractions, i.e. the multidimensional S-fractions with independent variables, consisting of \[\sum_{i_1=1}^N\frac{c_{i(1)}z_{i_1}}{1}{\atop+}\sum_{i_2=1}^{i_1}\frac{c_{
O.S. Bodnar, R.I. Dmytryshyn, S.V. Sharyn   +2 more
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