Results 211 to 220 of about 15,074 (239)

Linear difference equations and generalized continued fractions

Computing, 1979
In one of his papers [5] Gautschi presents an algorithm for determining the minimal solution of a second-order homogeneous difference equation. The method is based on the connection between the existence of a minimal solution of such a difference equation and the convergence of a certain continued fraction.
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Transient solutions of Markov processes and generalized continued fractions

IMA Journal of Applied Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite-dimensional generalized continued fractions, quadratic residues and non-residues, and ergodic theory

Russian Mathematical Surveys, 1997
In this very short paper, the author defines the notion of an \((A,p,\omega)\) continued fraction of an arbitrary infinite-dimensional vector \(x= (x_1, x_2,\dots)\), where \(p= (p_1, p_2,\dots)\) is a sequence of pairwise distinct, pairwise relatively prime natural numbers, \(\omega= (\omega_1, \omega_2,\dots)\in \Pi_n S_n\) with \(S_n\) the discrete ...
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Matrix continued fraction expansion and inversion by the generalized matrix Routh algorithm

International Journal of Control, 1974
Abstract A generalized matrix Mouth algorithm is established to expand n matrix transfer function into the matrix continued fraction of three matrix Cauer forms. By the use of the generalized matrix Routh algorithm and state-space techniques. a method is established for performing the matrix continued fraction inversion.
L. S. SHLEH, F.F. GAUDlANO
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Ideas from Continued Fraction Theory Extended to Padé Approximation and Generalized Iteration

Acta Applicandae Mathematica, 2000
A continued fraction \(b_0+K(a_n/b_n)\) where \(a_n, b_n\) are polynomials in \(z\in\mathbb C\), is said to correspond to a formal power series \(L(z)=\sum_{n=0}^\infty c_nz^n\) at the origin if its approximants \(S_k(0)\) has Maclaurin expansions of the form \(\sum_{n=0}^{n_k} c_nz^n+\dots\) where \(n_k\to\infty\) as \(k\to\infty\).
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Proof of the quantum chaos conjecture and generalised continued fractions

Russian Mathematical Surveys, 2002
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The generalized continued fractions and potentials of the Lennard-Jones type

Journal of Mathematical Physics, 1990
For a broad class of the strongly singular potentials V(r), which are defined as superpositions of separate power-law components, the general solution of the corresponding Schrödinger differential equation is constructed as an analog of Mathieu functions. The analogy is supported by the use of the (generalized) continued fractions.
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Hausdorff dimension of some sets in the theory of continued beta-fractions and its generalized continued fractions

Journal of Mathematical Analysis and Applications
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Plant rhizodeposition: A key factor for soil organic matter formation in stable fractions

Science Advances, 2021
Sebastián Horacio Villarino, Priscila Pinto, Robert B Jackson   +2 more
exaly  

The distribution of microplastics in soil aggregate fractions in southwestern China

Science of the Total Environment, 2018
G S Zhang
exaly