Two properties of the Thiele reciprocal derivative

It is proved that the Thiele's reciprocal derivative of the $(2n-1)$-th order of polynomial $ p_n (z), n \geq 2, $ is equal zero, and that the Thiele's reciprocal derivative of $2n$-th order of rational function $ p_m (z) / q_n (z), m <n, $ is equal zero too

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Bibliographic Details
Date:2015
Main Authors: Pahirya, M. M., Пагіря, М. М.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/297
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine