Continuity on the boundary and analytic continuation of continued fractions

DOI10.1007/BF01214708zbMath0317.30007MaRDI QIDQ1221829

Hans-J. Runckel

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172364

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Continued fractions; complex-analytic aspects (30B70) Dirichlet series, exponential series and other series in one complex variable (30B50) Analytic continuation of functions of one complex variable (30B40)

Related Items (6)

Solution formulas for linear difference equations with applications to continued fractions ⋮ Computation of limit periodic continued fractions. A survey ⋮ 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 ⋮ Analytic continuation of functions given by continued fractions, revisited ⋮ Multidimensional chain sequences and \(g\)-fractions

Cites Work

• On the zeros of power series
• Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near singular line.
• Zeros of Entire Functions
• The behavior of certain Stieltjes continued fractions near the singular line
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