Results 21 to 30 of about 130,314 (163)
Continued fractions built from convex sets and convex functions [PDF]
, 2015 In a partially ordered semigroup with the duality (or polarity) transform, it is pos- sible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions are provided. Two particular applications
Molchanov, Ilya
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Continued fractions and class number two
International Journal of Mathematics and Mathematical Sciences, 2001 We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm-induced quadratic polynomial.
Richard A. Mollin
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Some results about four Smarandache U-product sequences [PDF]
, 1999 In this paper four Smarandache product sequences have been studied: Smarandache Square product sequence, Smarandache Cubic product sequence, Smarandache Factorial product sequence and Smarandache Palprime product sequence.
Russo, Felice
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Formulas for the Number of Spanning Trees in a Chain of Cycles
Sultan Qaboos University Journal for Science, 2010 We give a formula for the number of spanning trees in a chain of cycles that have connected intersection of one edge but where the cycles have variable sizes. The formula uses basic properties of continued fractions.
Thomas Bier
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The Generating Functions for Special Pringsheim Continued Fractions
Communications in Advanced Mathematical Sciences, 2020 In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated.
Ali Hikmet Değer, Ümmügülsün Akbaba
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Continued fractions with prescribed period
, 2020 This thesis concerns continued fractions of quadratic irrationals. Their basic properties are shown, including mentioning necessary theory to do this. Then, this theory is used to find the form of continued fractions of square roots of positive nonsquare
Kuděj, Martin
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On the metrical theory of a non-regular continued fraction expansion
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the ...
Lascu Dan, Cîrlig George
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Continued fractions related to a group of linear fractional transformations
Open Mathematics, 2023 There are strong relations between the theory of continued fractions and groups of linear fractional transformations. We consider the group G3,3{G}_{3,3} generated by the linear fractional transformations a=1−1∕za=1-1/z and b=z+2b=z+2.
Demir Bilal
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Convergence criterion for branched contіnued fractions of the special form with positive elements
Karpatsʹkì Matematičnì Publìkacìï, 2017 In this paper the problem of convergence of the important type of a multidimensional generalization of continued fractions, the branched continued fractions with independent variables, is considered.
D.I. Bodnar, I.B. Bilanyk
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, 2021 U ovom radu bavit ćemo se verižnim razlomcima. Proučavat ćemo osnovna svojstva verižnih razlomaka, konačne i beskonačne verižne razlomke te njihove konvergente. Detaljnije ćemo proučiti svojstva periodskih verižnih razlomaka.
Gavran, David
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