A generalization of a theorem of Pringsheim
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Publication:1838682
DOI10.1016/0021-9045(82)90023-5zbMath0511.46047OpenAlexW2077903308MaRDI QIDQ1838682
Publication date: 1982
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(82)90023-5
General theory of topological algebras (46H05) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)
Related Items (6)
Quadratic operator equations and periodic operator continued fractions ⋮ Closure method and asymptotic expansions for linear stochastic systems ⋮ Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion ⋮ Two-sided continued fractions in Banach algebras -- a Śleszyński-Pringsheim-type convergence criterion and applications ⋮ Non-commutative double-sided continued fractions ⋮ Algebraic reduction methods and their applications to matrix continued fractions
Cites Work
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- Diophantine approximation in a vector space
- Approximation of exponential function of a matrix by continued fraction expansion
- Iterative solution of spectral operator polynomial equations and a related continued fraction
- Continued fractions in Banach spaces
- Matrix moment methods in perturbation theory, boson quantum field models, and anharmonic oscillators
- A note on the use of a continued fraction for perturbation theory
- p-adische Kettenbrüche und Irrationalität p-adischer Zahlen
- Vector continued fractions
- Padé approximations to the operator exponential
- A convergence theorem for noncommutative continued fractions
- Continued fraction solution of the Riccati equation in a Banach algebra
- Continued fractions whose coefficients obey a non-commutative law of multiplication
- An Iterative Solution of the Quadratic Equation in Banach Space
- Matrix continued fraction expansion and inversion by the generalized matrix Routh algorithm
- Minimal realizations of transfer-function matrices by means of matrix continued fraction
- Analytic Expressions for Continued Fractions Over a Vector Space
- Additional properties and applications of matrix continued fraction†
- On Some Recent Developments in the Theory and Application of Continued Fractions
- Analysis of a family of fraction expansions in linear analysis
- Continued Fractions Over an Inner Product Space
- Noncommutative Continued Fractions
- The Parabola Theorem for Continued Fractions Over a Vector Space
- A Note on a Method of Bellman and Richardson in Perturbation Theory
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