TY - JOUR
AU - M. M. Pahirya
PY - 2022/01/24
Y2 - 2024/11/04
TI - On zeros of numerator and denominator polynomials of Thiele’s continued fraction
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 74
IS - 1
SE - Research articles
DO - 10.37863/umzh.v74i1.6133
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6133
AB - UDC 517.518:519.652We 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 normal Pad´e approximants. The region of zeros of the denominator polynomial of the convergent of Thiele’s continued fraction is also determined.
ER -