New elementary formulas for any derivative of any rational function

2020/02/03 by Shahar Nevo, Nevo, Shahar, Irina Raichik +1
Mathematics · Medicine · Physics and Astronomy · #05A19 #26A24 #26C15 #65D03 #97I30 #97I50 #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Applied mathematics #Calculus (dental) #Classical Analysis and ODEs (math.CA) #Derivative (finance) #Economics #Elementary function #FOS: Mathematics #Financial economics #Function (biology) #Mathematical analysis #Mathematical economics #Mathematics #Mathematics and Applications #Medicine #Pure mathematics #Quantum chaos and dynamical systems #math.CA #msc:05A19 #msc:26A24 #msc:26C15 #msc:65D03 #msc:97I30 #msc:97I50

paper · pdf · doi:10.48550/arxiv.2002.00809

19 pages

arxiv created 2020/02/03 · openalex publication_date 2020/02/03 · arxiv updated 2020/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce elementary and completely explicit formulas for the derivative of any order of any function of the type 1/p, where p is a polynomial with known zeros.

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