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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 2, Pages 169–174 (Mi jsfu1146)  
Difference equations and Hadamard composition of multiple power series

Evgeny D. Leinartas, Evgeny K. Leinartas

Siberian Federal University, Krasnoyarsk, Russian Federation
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Abstract: The sufficient conditions are given for the coefficients of two power series, which ensure the rationality of their Hadamard composition. Under certain additional constraints, the existence of a system of polynomial difference equations, satisfied by the coefficients of the composition, is proven.
Keywords: systems of polynomial linear equations with constant coefficients, multiple power series, Hadamard composition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-936
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2023-936).
Received: 16.09.2023
Received in revised form: 10.11.2023
Accepted: 14.12.2023
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.96
Language: English
Citation: Evgeny D. Leinartas, Evgeny K. Leinartas, “Difference equations and Hadamard composition of multiple power series”, J. Sib. Fed. Univ. Math. Phys., 17:2 (2024), 169–174
Citation in format AMSBIB
\Bibitem{LeiLei24}
\by Evgeny~D.~Leinartas, Evgeny~K.~Leinartas
\paper Difference equations and Hadamard composition of multiple power series
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 2
\pages 169--174
\mathnet{http://mi.mathnet.ru/jsfu1146}
\edn{https://elibrary.ru/UHYRGO}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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