Two asymptotic distributions related to Rényi-type continued fraction expansions
Sign Up to like & getrecommendations! Published in 2022 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-021-00444-4
Abstract: We attempt to investigate a two-dimensional Gauss–Kuzmin theorem for Rényi-type continued fraction expansions. More precisely, our focus is to obtain specific lower and upper bounds for the error term considered which imply the convergence rate… read more here.
Keywords: nyi type; continued fraction; two asymptotic; fraction expansions ... See more keywords
Generalized Hypergeometric Function 3F2 Ratios and Branched Continued Fraction Expansions
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DOI: 10.3390/axioms10040310
Abstract: The paper is related to the classical problem of the rational approximation of analytic functions of one or several variables, particulary the issues that arise in the construction and studying of continued fraction expansions and… read more here.
Keywords: function; continued fraction; branched continued; generalized hypergeometric ... See more keywords
Continued Fraction Expansions of Stable Discrete-Time Systems of Difference Equations
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DOI: 10.3390/sym14061226
Abstract: We provide a systematic procedure for generating the coefficients of the continued fraction expansion of the test function associated with the characteristic polynomial of a stable system of difference equations. We illustrate the feasibility of… read more here.
Keywords: stable discrete; difference equations; fraction expansions; continued fraction ... See more keywords