Analytic continuation of functions difined by means of continued fraction.

DOI10.7146/math.scand.a-11875zbMath0446.30001OpenAlexW2537802429MaRDI QIDQ3890950

W. J. Thron, Haakon Waadeland

Publication date: 1980

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166713

zbMATH Keywords

continued fractionsanalytic continuationacceleration of convergencemodified approximants

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence factors and summability factors (40D15) Analytic continuation of functions of one complex variable (30B40) Convergence and divergence of infinite products (40A20)

Related Items (10)

Solution formulas for linear difference equations with applications to continued fractions ⋮ Computation of limit periodic continued fractions. A survey ⋮ Meromorphic continuation of functions given by limit k-periodic continued fractions ⋮ Limit periodic iteration ⋮ Padé approximation and continued fractions ⋮ Meromorphic extension of analytic continued fractions across the line of nonconvergence ⋮ Meromorphic Extension of Analytic Continued Fractions Across Their Divergence Line with Applications to Orthogonal Polynomials ⋮ Convergence Acceleration for Generalized Continued Fractions ⋮ Improved truncation error bounds for limit periodic continued fractions with additional assumptions on its elements ⋮ Analytic continuation of functions given by continued fractions, revisited

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