### On the convergence of multidimensional regular C-fractions with independent variables

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Antonova T.M., Bodnar D.I. "Convergence domains for branched continued fractions of the special form", *Approx. Theory and its Appl.: Proc. Inst. Math. NAS Ukr.*, 2000; 31: pp. 19-32. (in Ukrainian)

Baran O.E. "Some convergence regions of branched continued fractions of special form", *Carpathian Math. Publ.*, 2013; 5(1): pp. 4-13. (in Ukrainian)

Bodnar D., Dmytryshyn R. "On some convergence criteria for branched continued fractions with independent variables", *Visnyc Lviv Univ. Ser. Mech-Math.*, 2008; 68: pp. 22-30. (in Ukrainian)

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

Dmytryshyn R.I. "A multidimensional generalization of the Rutishauser qd-algorithm", *Carpathian Math. Publ.*, 2016; 8(2): pp. 230-238.

Dmytryshyn R.I. "On the convergence criterion for branched continued fractions with independent variables", *Carpathian Math. Publ.*, 2017; 9(2): pp. 120-127.

Dmytryshyn R.I. "Regular two-dimensional C-fraction with independent variables for double power series", *Bukovyn. Mat. Zh.*, 2013; 1(1–2): pp. 55-57. (in Ukrainian)

Jones W.B., Thron W.J. "Continued Fractions: Analytic Theory and Applications", *Encyclopedia of Math. and its Appl. Vol. 11*, Addison-Wesley, London, Amsterdam, Don Mills, Ontario, Sydney, Tokyo, 1980.

Wall H.S. *Analytic Theory of Continued Fractions*, Van Nostrand, New York, 1948.

DOI: https://dx.doi.org/10.15421/241803

### Refbacks

- There are currently no refbacks.

Copyright (c) 2018 R.I. Dmytryshyn

This work is licensed under a Creative Commons Attribution 4.0 International License.