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‘Classical’ convergence theorems for generalized continued fractions |
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| Authors: | Marcel G de Bruin |
| Institution: | (1) Delft Institute for Applied Mathematics, P.O. Box 5031, 2600, GA, Delft, The Netherlands |
| Abstract: | In this paper the classical convergence theorems by Śleszyński-Pringsheim, Worpitzky and Van Vleck for ordinary continued fractions will be generalized to continued fractions generalizations (along the lines of the Jacobi–Perron algorithm) with four-term recurrence relations. |
| Keywords: | Generalized continued fractions Jacobi– Perron algorithm Recurrence relations Linear fractional transformations Convergence |
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