A DIFFERENTIATION AND DIVIDED DIFFERENCE FORMULA FOR RATIONAL FUNCTIONS

Authors

  • G.Ye. Mkrtchyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia
  • Ye.S. Mkrtchyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2016.50.1.007

Keywords:

rational function, divided difference

Abstract

In this paper a new differentiation and divided difference formula for rational functions is proved. The main result is a connection between divided differences of two rational functions with the same numerator, where the knots of one divided difference coincide with the zeros of the denominator of another rational function.

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Published

2016-03-18

How to Cite

Mkrtchyan, G., & Mkrtchyan, Y. (2016). A DIFFERENTIATION AND DIVIDED DIFFERENCE FORMULA FOR RATIONAL FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 50(1 (239), 7–11. https://doi.org/10.46991/PSYU:A/2016.50.1.007

Issue

Section

Mathematics