On Zeros of the Numerator and Denominator Polynomials of Thiele's Continued Fraction

dc.contributor.author	Pahirya, M. M.
dc.contributor.author	Пагіря, Михайло Михайлович
dc.date.accessioned	2022-10-10T10:57:22Z
dc.date.available	2022-10-10T10:57:22Z
dc.date.issued	2022
dc.identifier.uri	http://dspace.msu.edu.ua:8080/jspui/handle/123456789/9160
dc.description	Pahirya, M. M. On Zeros of the Numerator and Denominator Polynomials of Thiele's Continued Fraction / M. M. Pahirya // Ukrainian Mathematical Journal. - Vol. 74, No. 1, June, 2022. - Р. 131-141	uk_UA
dc.description.abstract	We prove that the polynomials of canonical numerators and denominators of the interpolation and approximation convergents of Thiele's continued fractions have no common zeros. It is shown that the convergents of Thiele's continued fraction form a staircase sequence of normal Pade approximants. The region containing zeros of the denominator polynomial of the convergent of Thiele's continued fraction is also determined.	uk_UA
dc.language.iso	other	uk_UA
dc.title	On Zeros of the Numerator and Denominator Polynomials of Thiele's Continued Fraction	uk_UA
dc.type	Article	uk_UA