Natural Science, Mathematics, 2025
A DIFFERENTIATION AND DIVIDED DIFFERENCE FORMULA FOR RATIONAL FUNCTIONS
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Submitted: 2025-02-11; Published: 2025-02-11
© 2025 by author(s) and The Gufo Inc.
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(CC BY-NC 4.0).
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.