References

  1. Antonova T.M., Bodnar D.I. Convergence domains for branched continued fractions of the special form. Approx. Theory and its Appl.: Pr. Inst. Math. NAS Ukr. 2000, 31, 19-32. (in Ukrainian)
  2. Baran O.E. Approximation of functions of multiple variables branched continued fractions with independent variables. Ph.D. dissertation. Mathematical Analysis. Ya. S. Pidstryhach Institute for Appl. Probl. of Mech. and Math. NAS of Ukraine, Lviv, 2014. (in Ukrainian)
  3. Bodnar D.I. Branched continued fractions. Nauk. Dumka, Kyiv, 1986. (in Russian)
  4. Bodnar D., Dmytryshyn R. On some convergence criteria for branched continued fractions with nonequivalent variables. Visnyc Lviv Univ. Ser. Mech-Math. 2008, 68, 22-30. (in Ukrainian)
  5. Dmytryshyn R.I. On the convergence criterion for branched continued fractions with independent variables. Carpathian Math. Publ. 2017, 9 (2), 120-127. doi: 10.15330/cmp.9.2.120-127
  6. Dmytryshyn R.I. Convergence of some branched continued fractions with independent variables. Mat. Stud. 2017, 47 (2), 150-159. doi: 10.15330/ms.47.2.150-159
  7. Dmytryshyn R.I. On the convergence of multidimensional J-fraction with independent variables. Bukovinian Math. J. 2017, 5 (3-4), 71-76.
  8. Dmytryshyn R.I. On the convergence multidimensional g-fraction with independent variables. Mat. Metodi Fiz.-Mekh. Polya 2005, 48 (4), 87-92. (in Ukrainian)
  9. Jones W.B., Thron W.J. Continued fractions: analytic theory and applications. In: Encyclopedia of Math. and its Appl., 11. Addison-Wesley, London, 1980.
  10. Wall H.S. Analytic theory of continued fractions. D. Van Nostrand Co., New York, 1948.

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.