517.53
A class of transcendental numbers having explicit g-adic and Jacobi-Perron expansions of arbitrary dimension
A Continued Fraction Algorithm.
A recovery of Brouncker's proof for the quadrature continued fraction.
350 years ago in Spring of 1655 Sir William Brouncker on a request by John Wallis obtained a beautiful continued fraction for 4/π. Brouncker never published his proof. Many sources on the history of Mathematics claim that this proof was lost forever. In this paper we recover the original proof from Wallis' remarks presented in his Arithmetica Infinitorum. We show that Brouncker's and Wallis' formulas can be extended to MacLaurin's sinusoidal spirals via related Euler's products. We derive Ramanujan's...
Accelerating Convergence of Limit Periodic Continued Fractions K(an 1).
An interesting lemma for regular -fractions.
Analytic continuation of functions difined by means of continued fraction.
Approximants de Padé-Hermite. 1ère partie: théorie.
Approximants de Padé-Hermite. 2ème partie: programmation.
Arithmetic operations with regular C-fractions.
Attractive Fixed Points and Continued Fractions.
Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near singular line.
Complex continued fractions with restricted entries.
Continued fractions and the fundamental equation of information.
Continued fractions and transformations of integer sequences.
Continuity on the Boundary and Analytic Continuation of Continued Fractions.
Continuous fractions and reduced algebraic formal power series. (Fractions continues et séries formelles algébriques réduites.)
Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.
Convergence of composition sequences of bilinear and other transformations , .
Convergence of vectorial continued fractions related to the spectral seminorm.