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http://dspace.msu.edu.ua:8080/jspui/handle/123456789/9160
Titel: | On Zeros of the Numerator and Denominator Polynomials of Thiele's Continued Fraction |
Autoren: | Pahirya, M. M. Пагіря, Михайло Михайлович |
Erscheinungsdatum: | 2022 |
Zusammenfassung: | 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. |
Beschreibung: | 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 |
URI: | http://dspace.msu.edu.ua:8080/jspui/handle/123456789/9160 |
Enthalten in den Sammlungen: | Статті |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Zeros_ of _the_ Numerator_ and _Denominator_ Polynomials_ of _Thiele's _Continued_ Fraction.pdf | On Zeros of the Numerator and Denominator Polynomials of Thiele's Continued Fraction | 600.91 kB | Adobe PDF | Öffnen/Anzeigen |
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