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

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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


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