Continued Fractions: Analytic Theory and Applications
By W. B. Jones, W. J. Thron. 1984
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Philippe Flajolet
- Alexander I. Aptekarev
- V. Kaliaguine
- Alan F. Beardone
- Fabrice Michel Guillemin
- J. V. Iseghem
- Stephen C. Milne
- I. Sick
Citations in the corpus
- The formal theory of birth-and-death processes, lattice path combinatorics and continued fractions (2000, background): “1) being positive, the continued fraction P̃0,0(s) is a Stieltjes fraction (S-fraction) [8, 24, 28].”
- Some Bounds for the Logarithmic Function (2004, background): “Regarding historical comments – to this and other aspects of the paper – we refer to [3] and to [7].”
- The Genetic Sums' Representation for the Moments of a System of Stieltjes Functions and its Application (2000, background): “This formula (obtained in [5]) seems to be not so well known as other identities of the formal theory of continued fractions, at least we did not meet it in the work of Stieltjes or in the latest monographs on the subject [35], [13].”
- On the RMS radius of the proton (2003, background): “to find a function f(z) specified by its moments 〈z〉 [28] and to accelerate the convergence of poorly converging series [29].”
- Continued Fractions, Discrete Groups and Complex Dynamics (2001, methodology): “For the general theory of continued fractions, we recommend [ 51 ], [55], [67], [68] and [83].”
- Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions (2000, background): “s, Hankel or Tura´nian determinants, Fourier series, Lambert series, inclusion/exclusion, the Laplace expansion formula for determinants, and Schur functions. This background material is contained in [2, 15, 16, 21, 23, 43, 63, 79, 92, 93, 103, 104, 111, 119, 125, 135, 149, 153, 184, 203, 206, 214, ”