Implicit linear inhomogeneous functional equation with the Pommier operator in the ring Z[[x]]
1 Department of Fundamental Mathematics, Karazin's Kharkiv National University, Kharkiv, 61022, Ukraine
2 Department of Applied Mathematics, Karazin's Kharkiv National University, Kharkiv, 61022, Ukraine
Keywords:
functional equation
Abstract
For an arbitrary integer an existence criterion of a solution of the equation from the ring of formal power series with integers coefficients is found in the paper. Moreover, an explicit formula for its unique solution from this ring is obtain. The results of paper are based of using the p-adic topology on the ring
Cite
- ACS Style
- Herasymov, V.; Hefter, S.; Rybalko, A.P. Implicit linear inhomogeneous functional equation with the Pommier operator in the ring Z[[x]]. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Herasymov V, Hefter S, Rybalko AP. Implicit linear inhomogeneous functional equation with the Pommier operator in the ring Z[[x]]. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- V. Herasymov, Sergey Hefter, Antonina Pavlovna Rybalko. 2017. "Implicit linear inhomogeneous functional equation with the Pommier operator in the ring Z[[x]]". Bukovinian Mathematical Journal. 4 no. 3-4.
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