Evgeny D. Leinartas, Evgeny K. Leinartas, “Difference equations and Hadamard composition of multiple power series”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 2,Pages <nobr>169

Difference equations and Hadamard composition of multiple power series

Evgeny D. Leinartas, Evgeny K. Leinartas

Siberian Federal University, Krasnoyarsk, Russian Federation

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.

UDC: 517.55+517.96

Received: 16.09.2023
Received in revised form: 10.11.2023
Accepted: 14.12.2023

Language: English