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Displaying 1 – 20 of 78
A class of transcendental numbers having explicit g-adic and Jacobi-Perron expansions of arbitrary dimension
Jun-Ichi Tamura (1995)
Acta Arithmetica
A Continued Fraction Algorithm.
P. van der Cruyssen (1981)
Numerische Mathematik
A recovery of Brouncker's proof for the quadrature continued fraction.
Sergey Khrushchev (2006)
Publicacions Matemàtiques
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).
W.J. Thron, H. Waadeland (1980)
Numerische Mathematik
An interesting lemma for regular -fractions.
Chen, Kwang-Wu (2003)
Journal of Integer Sequences [electronic only]
Analytic continuation of functions difined by means of continued fraction.
W.J. Thron, Haakon Waadeland (1980)
Mathematica Scandinavica
Approximants de Padé-Hermite. 1ère partie: théorie.
J. Della Dora, C. Di Crescenzo (1984)
Numerische Mathematik
Approximants de Padé-Hermite. 2ème partie: programmation.
J. Della Dora, C. Di Crescenzo (1984)
Numerische Mathematik
Arithmetic operations with regular C-fractions.
Lisa Lorentzen (1992)
Numerische Mathematik
Attractive Fixed Points and Continued Fractions.
John Gill (1973)
Mathematica Scandinavica
Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near singular line.
Hans-J. Runckel (1976)
Journal für die reine und angewandte Mathematik
Complex continued fractions with restricted entries.
Hanus, Paweł, Urbański, Mariusz (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Continued fractions and the fundamental equation of information.
George T. Diderrich (1979)
Aequationes mathematicae
Continued fractions and transformations of integer sequences.
Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
Continuity on the Boundary and Analytic Continuation of Continued Fractions.
Hans-J. Runckel (1976)
Mathematische Zeitschrift
Continuous fractions and reduced algebraic formal power series. (Fractions continues et séries formelles algébriques réduites.)
Mkaouar, M. (2001)
Portugaliae Mathematica. Nova Série
Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.
Haakon Waadeland, Lisa Jacobsen (1988)
Numerische Mathematik
Convergence of composition sequences of bilinear and other transformations , .
Gill, John (1997)
International Journal of Mathematics and Mathematical Sciences
Convergence of vectorial continued fractions related to the spectral seminorm.
Hemdaoui, M., Amzil, M. (2008)
Journal of Inequalities and Applications [electronic only]
Currently displaying 1 – 20 of 78
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