A convergence problem for continued fractions
نویسندگان
چکیده
منابع مشابه
Convergence Conditions for Vector Stieltjes Continued Fractions
Necessary and sufficient conditions for the convergence of vector S-fractions are obtained, generalizing classical results of Stieltjes. A class of unbounded difference operators of high order possessing a set of spectral measures is described.
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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 consid...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1963
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1963-0154001-9