Convergence of some branched continued fractions with independent variables

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the convergence acceleration of some continued fractions

A well known method for convergence acceleration of a continued fraction K(an/bn) is based on the use of modified approximants Sn(ωn) in place of the classical ones Sn(0), where ωn are close to tails f (n) of the continued fraction. Recently (Numer. Algorithms 41 (2006), 297–317), the author proposed an iterative method producing tail approximations whose asymptotic expansion’s accuracy is impr...

متن کامل

Convergence Conditions for Vector Stieltjes Continued Fractions

Necessary and sufficient conditions for the convergence of vector S-fractions are obtained, generalizing classical results of Stieltjes. A class of unbounded difference operators of high order possessing a set of spectral measures is described.

متن کامل

Explicit Descriptions of Some Continued Fractions

Recently, Bergman [2] provided an explicit, nonrecursive description of the partial quotients in (1), and by implication, in (2). (This description is our Theorem 3.) The purpose of this paper is to prove Bergman's result, and to provide similar results for the continued fractions given in [3] and [4]. We start off with some terminology about "strings." By a string9 we mean a (finite or infinit...

متن کامل

Singularity of Some Random Continued Fractions

We prove singularity of some distributions of random continued fractions that correspond to iterated function systems with overlap and a parabolic point. These arose while studying the conductance of GaltonWatson trees. §

متن کامل

Some More Long Continued Fractions, I

In this paper we show how to construct several infinite families of polynomials D(x̄, k), such that p D(x̄, k) has a regular continued fraction expansion with arbitrarily long period, the length of this period being controlled by the positive integer parameter k. We also describe how to quickly compute the fundamental units in the corresponding real quadratic fields.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Matematychni Studii

سال: 2017

ISSN: 1027-4634

DOI: 10.15330/ms.47.2.150-159