A Convergence Problem for Continued Fractions1
نویسنده
چکیده
converges if for «2:2, anE V„. The problem that is raised in this paper, and to which the following theorems contribute a partial solution, is the problem of finding all admissible sequences for (1.1). The collection of all admissible sequences is denoted by AS. Before stating the theorems, it is convenient to have some additional notation and definitions. The continued fraction (1.1) is considered as being generated by the sequence / of linear fractional transformations defined by:
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