Two properties of the Thiele reciprocal derivative

• Date: 2015
• Author Affiliations: М. М. Пагіря — Мукачівський державний університет
• Keywords: keywords
• 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
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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