References

  1. Antonova T.M., Bodnar D.I. Region convergence of branched continued fractions of special form. Approx. Theor. and its Appl.: Pr. Inst. Matem. NAS Ukr. 2000, 31, 19-32. (in Ukrainian)
  2. Baran O.E. Some convergence regions of branched continued fractions of special form. Carpathian Math. Publ. 2013, 5 (1), 4-13. doi: 10.15330/cmp.5.1.4-13. (in Ukrainian)
  3. Bodnar D.I. Branched continued fractions. Naukova Dumka, Kyiv, 1986. (in Russian)
  4. Bodnar D.I. On the convergence of branched continued fractions. J. Math. Sci. 1999, 97 (1), 3862-3871. doi: 10.1007/BF02364926 (translation of Mat. Metodi Fiz.-Mekh. Polya 1998, 41 (2), 117-126. (in Russian))
  5. Bodnar D.I. The investigation of one form of branched continued fractions. Continued Fractions and its Application: Pr. Inst. Matem. AS USSR 1976, 41-44. (in Russian)
  6. Bodnar D.I., Kuchmins'ka Kh.Yo. Parabolic convergence region for two-dimensional continued fractions. Mat. Stud. 1995, 4, 29-36. (in Ukrainian)
  7. Dmytryshyn R.I., Baran O.E. The some type of the corresponding branched continued fraction for dimensional power series. Approx. Theor. and its Appl.: Pr. Inst. Matem. NAS Ukr. 2000, 31, 82-92. (in Ukrainian)
  8. Jones W.B., Thron W.J. Continued Fractions: Analytic Theory and Applications. In: Encyclopedia of Mathematics and its Applications, 11. Addison-Wesley, London, Amsterdam, Don Mills, Ontario, Sydney, Tokyo, 1980.
  9. Lorentzen L., Waadeland H. Continued Fractions with Applications. In: Studies in Computational Mathematics, 3. North-Holland, Amsterdam, London, New-York, Tokyo, 1992.
  10. Kuchminska Kh.Yo. Two-dimensional continued fractions. Pidstryhach Institute for Appl. Probl. in Mech. and Math., NAS of Ukraine, Lviv, 2010. (in Ukrainian)
  11. Skorobogatko V.Ya. The theory of branched continued fractions and its applicatiot in computational mathematics. Nauka, Moscow, 1983. (in Russian)
  12. Wall H.S. Analytic theory of continued fractions. American Math. Soc., 2000.