2016; Physical and Mathematical Sciences, 50(1 (239): 7–11
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A DIFFERENTIATION AND DIVIDED DIFFERENCE FORMULA FOR RATIONAL FUNCTIONS

Gevorg Mkrtchyan*

Received: 2025-02-11 · Published: 2016-03-18

© 2016 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
A DIFFERENTIATION AND DIVIDED DIFFERENCE FORMULA FOR RATIONAL FUNCTIONS
Author
Gevorg Mkrtchyan
Published
2016-03-18
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PSYU:A/2016.50.1.007

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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