Reciprocal derivatives of the 2nd type and rational functions

• Date: 2015
• Author Affiliations: М. М. Пагіря — Мукачiвський державний унiверситет
• Keywords: keywords
• Main Author: 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/27
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

New properties of reciprocal derivatives of the 2nd type are studied. Itis proved that the reciprocal derivative of the 2nd type of the (2n)–thorder of the polynomials p n (z) is equal to zero, and that the reciprocalderivative of the 2nd type of the (2n−1)–th order of the rational functionp m (z)/q...