AbstractA branched continued fraction (BCF) is defined and some of their properties are shown. This branched continued fraction corresponds to the double power series. One theorem of Van Vleck is transformed for the case of double power series and BCF
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
AbstractIn two previous papers Nettler proved the transcendence of the continued fractions A := a1 +...
We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequen...
AbstractA branched continued fraction (BCF) is defined and some of their properties are shown. This ...
The paper deals with research of convergence for one of the generalizations of continued fractions -...
AbstractA continued fraction expansion in two variables is described and shown to correspond to a do...
AbstractA continued fraction in the complex plane is a discrete expansion having approximants {Fn} f...
AbstractEuler's Connection describes an exact equivalence between certain continued fractions and po...
AbstractIn the study of simultaneous rational approximation of functions using rational functions wi...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
AbstractIn this paper we prove a theorem allowing us to determine the continued fraction expansion f...
Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines u...
AbstractIn this paper we present a generalization to generalized continued fractions of Pringsheim's...
AbstractWe present an algorithm to produce the continued fraction expansion of a linear fractional t...
International audienceWe explicitly describe a noteworthy transcendental continued fraction in the f...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
AbstractIn two previous papers Nettler proved the transcendence of the continued fractions A := a1 +...
We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequen...
AbstractA branched continued fraction (BCF) is defined and some of their properties are shown. This ...
The paper deals with research of convergence for one of the generalizations of continued fractions -...
AbstractA continued fraction expansion in two variables is described and shown to correspond to a do...
AbstractA continued fraction in the complex plane is a discrete expansion having approximants {Fn} f...
AbstractEuler's Connection describes an exact equivalence between certain continued fractions and po...
AbstractIn the study of simultaneous rational approximation of functions using rational functions wi...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
AbstractIn this paper we prove a theorem allowing us to determine the continued fraction expansion f...
Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines u...
AbstractIn this paper we present a generalization to generalized continued fractions of Pringsheim's...
AbstractWe present an algorithm to produce the continued fraction expansion of a linear fractional t...
International audienceWe explicitly describe a noteworthy transcendental continued fraction in the f...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
AbstractIn two previous papers Nettler proved the transcendence of the continued fractions A := a1 +...
We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequen...