Results 11 to 20 of about 1,829,984 (205)
Continued Fractions and Generalized Patterns [PDF]
European Journal of Combinatorics, 2002 In [BS] Babson and Steingrimsson introduced generalized permutation patterns that allow the requirement that two adjacent letters in a pattern must be adjacent in the permutation. Let $f_{τ;r}(n)$ be the number of $1\mn3\mn2$-avoiding permutations on $n$ letters that contain exactly $r$ occurrences of $τ$, where $τ$ a generalized pattern on $k$ letters.
Mansour, Toufik
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On Smarandache General Continued Fractions [PDF]
, 1995 The continued fraction is called a Smarandache general continued fraction associated with A and B.
Maohua, Le
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Continued fractions which correspond to two series expansions and the strong Hamburger moment problem [PDF]
, 2012 Just as the denominator polynomials of a J-fraction are orthogonal polynomials with respect to some moment functional, the denominator polynomials of an M-fraction are shown to satisfy a skew orthogonality relation with respect to a stronger moment ...
Sri Ranga, A.
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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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Smarandache Continued Fractions [PDF]
, 2001 The theory of general continued fractions is developed to the extent required in order to calculate Smarandache continued fractions to a given number of decimal places.
Ibstedt, H.
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Continued fractions for some transcendental numbers [PDF]
, 2015 We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequence $x_n$ satisfies a certain non-autonomous recurrence of second order, which entails that $x_n|x_{n+1}$ for n?1.
Andrew N. W. Hone, Hone, Andrew N.W.
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Continued-Fraction Expansion of Transport Coefficients with Fractional Calculus
Mathematics, 2016 The main objective of this paper is to generalize the Extended Irreversible Thermodynamics in order to include the anomalous transport in systems in non-equilibrium conditions.
Abel Garcia-Bernabé +3 more
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Generalized Continued Logarithms and Related Continued Fractions
J. Integer Seq., 2016 We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary continued logarithms introduced by Borwein et. al., we focus on a new generalization to an arbitrary integer base $b$.
Jonathan M. Borwein +2 more
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Continued Fraction Representations of the Generalized Operator Entropy
Tatra Mountains Mathematical Publications, 2023 Abstract The direct calculation of the generalized operator entropy proves to be difficult due to the appearance of rational exponents of matrices. The main motivation of this work is to overcome these difficulties and to present a practical and efficient method for this calculation using its representation by the matrix continued ...
Sarra Ahallal, Said Mennou, Ali Kacha
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ON SMARANDACHE SIMPLE CONTINUED FRACTIONS [PDF]
, 1999 Starting with a Smarandache type sequence, showing that if A is a positive integer sequence, then the simple continued fraction is ...
Ashbacher, Charles, Le, Maohua
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