Add to ORKGInternational audienceThis article is divided into three sections. In the first section, we present a formula for expanding an arbitrary generalised continued fraction into series. In the second section, we present an integral-series formula which has many applications in the evaluation of integrals. In the third section, we present a sampling type expansion formula. All results given are considered for future research
The purpose of this paper is to study convergence of certain continued fractions
Includes bibliographical references (pages 63-64)Following is my thesis submitted in partial satisfa...
International audienceWe describe a simple method that produces automatically closed forms for the c...
International audienceThis paper deals with the evaluation of a certain continued fraction carried o...
Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines u...
In this paper we have established interesting results involving continued fraction. Special cases of...
Rational approximations to real numbers have been used from ancient times, either for convenience in...
This is an exposition of the analytic theory of continued fractions in the complex domain with empha...
To Jean–Louis Nicolas in celebration of his sixtieth birthday Abstract. We discuss and illustrate th...
The intention of this diploma is to present the concept of continued fractions, their conection with...
We display a number with a surprising continued fraction expansion and show that we may explain that...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
Abstract. We prove Euler’s continued fraction expansion e = [2; 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 6,...]...
A continued fraction expansion for a generalization of Dawson's integral is presented. An exact form...
frequently furnishes a method for summing a slowly convergent or even divergent power series, it is ...
The purpose of this paper is to study convergence of certain continued fractions
Includes bibliographical references (pages 63-64)Following is my thesis submitted in partial satisfa...
International audienceWe describe a simple method that produces automatically closed forms for the c...
International audienceThis paper deals with the evaluation of a certain continued fraction carried o...
Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines u...
In this paper we have established interesting results involving continued fraction. Special cases of...
Rational approximations to real numbers have been used from ancient times, either for convenience in...
This is an exposition of the analytic theory of continued fractions in the complex domain with empha...
To Jean–Louis Nicolas in celebration of his sixtieth birthday Abstract. We discuss and illustrate th...
The intention of this diploma is to present the concept of continued fractions, their conection with...
We display a number with a surprising continued fraction expansion and show that we may explain that...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
Abstract. We prove Euler’s continued fraction expansion e = [2; 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 6,...]...
A continued fraction expansion for a generalization of Dawson's integral is presented. An exact form...
frequently furnishes a method for summing a slowly convergent or even divergent power series, it is ...
The purpose of this paper is to study convergence of certain continued fractions
Includes bibliographical references (pages 63-64)Following is my thesis submitted in partial satisfa...
International audienceWe describe a simple method that produces automatically closed forms for the c...