G. Y. Mkrtchyan, Ye. S. Mkrtchyan, “A differentiation and divided difference formula for rational functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 1, 7

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2016, Issue 1, Pages 7–11 (Mi uzeru92)

Mathematics

A differentiation and divided difference formula for rational functions

G. Y. Mkrtchyan, Ye. S. Mkrtchyan

Yerevan State University

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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.

Keywords: rational function, divided difference.

Received: 25.12.2015
Accepted: 09.02.2016

Document Type: Article

MSC: Primary 41A20; Secondary 65D05

Language: English

Citation: G. Y. Mkrtchyan, Ye. S. Mkrtchyan, “A differentiation and divided difference formula for rational functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 1, 7–11

Citation in format AMSBIB

\Bibitem{MkrMkr16}

\by G.~Y.~Mkrtchyan, Ye.~S.~Mkrtchyan

\paper A differentiation and divided difference formula for rational functions

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2016

\issue 1

\pages 7--11

\mathnet{http://mi.mathnet.ru/uzeru92}

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Citing articles in Google Scholar: Russian citations, English citations
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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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