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On zeros of numerator and denominator polynomials of Thiele’s continued fraction

UDC 517.518:519.652 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 established that the convergents of Thiele’s continued fraction form a staircase sequence of norma...

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Bibliographic Details
Date:	2022
Main Authors:	Pahirya, M. M., Пагіря, М. М.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2022
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/6133
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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