Multidimensional generalizations of g-fractions

Author:

Bodnar D. I.,Kuchmins’ka Kh. Yo.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference31 articles.

1. D. I. Bodnar, Branched Continued Fractions [in Russian], Naukova Dumka, Kiev (1986).

2. D. I. Bodnar, “Criteria of convergence of branched continued fractions with partial links of the form $$ \frac{{\left( {1 - {g_{{i_1}{i_2} \ldots {i_k}}}} \right){{\hat g}_{{i_1}{i_2} \ldots {i_k}}}{x_{{i_1}{i_2} \ldots {i_k}}}}}{1} $$ ,” Mat. Met. Fiz.-Mekh. Polya, Issue 15, 30–35 (1982).

3. D. I. Bodnar and Kh. Yo. Kuchmins’ka, “Absolute convergence of even and odd parts of a two-dimensional corresponding continued fraction,” Mat. Met. Fiz.-Mekh. Polya, Issue 18, 30–34 (1983).

4. D. I. Bodnar and R. I. Dmytryshyn, “A two-dimensional generalization of the Bauer g-algorithm,” Dop. Nats. Akad. Nauk Ukr., No. 2, 13–18 (2006).

5. D. I. Bodnar and R. I. Dmytryshyn, “Truncation error bounds for multidimensional g-fractions,” Visn. Derzh. Univ. “L’viv. Polit.”. Ser. Prikl. Mat., No. 341, 36–40 (1998).

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