Solution formulas for linear difference equations with applications to continued fractions

DOI10.1007/BF01263065zbMath0803.39003MaRDI QIDQ1330857

Hans-J. Runckel

Publication date: 10 August 1994

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

convergenceRiemann surfacesecond-order linear difference equationasymptotic estimatescontinued fraction

Mathematics Subject Classification ID

Additive difference equations (39A10) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Analytic continuation of functions of one complex variable (30B40)

Related Items (1)

Asymptotic behavior of solutions of three-term Poincaré difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The use of repulsive fixed points to analytically continue certain functions
• Practical computation of matrix functions
• Applications of matrix functions
• Functions defined by continued fractions meromorphic continuation
• Convergence questions for limit periodic continued fractions
• Meromorphic extension of analytic continued fractions across the line of nonconvergence
• Continuity on the boundary and analytic continuation of continued fractions
• The rotating harmonic oscillator eigenvalue problem. I. Continued fractions and analytic continuation
• Convergence and Analytic Continuation for a Class of Regular C-Fractions
• Enhancing the convergence region of a sequence of bilinear transformations.
• Analytic continuation of functions difined by means of continued fraction.
• A CONVERGENCE CRITERION FOR RECURRENT SEQUENCES WITH APPLICATION TO THE PARTITION LATTICE
• Meromorphic Extension of Analytic Continued Fractions Across Their Divergence Line with Applications to Orthogonal Polynomials

This page was built for publication: Solution formulas for linear difference equations with applications to continued fractions