Geodesic
Difference equations and Hadamard composition of multiple power series
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 169-174

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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
Mots-clés : Hadamard composition. 
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     title = {Difference equations and {Hadamard} composition of multiple power series},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a2/}
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Evgeny D. Leinartas; Evgeny K. Leinartas. Difference equations and Hadamard composition of multiple power series. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 169-174. http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a2/