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Article

On the Decomposability of the Linear Combinations of Euler Polynomials with Odd Degrees

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Institute of Mathematics, MTA-DE Research Group “Equations, Functions and Curves”, Hungarian Academy of Sciences and University of Debrecen, P. O. Box 12, H-4010 Debrecen, Hungary
2
Institute of Mathematics, University of Miskolc, H-3515 Miskolc Campus, Hungary
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Author to whom correspondence should be addressed.
Symmetry 2019, 11(6), 739; https://doi.org/10.3390/sym11060739
Received: 2 April 2019 / Revised: 14 May 2019 / Accepted: 18 May 2019 / Published: 31 May 2019
(This article belongs to the Special Issue Polynomials: Special Polynomials and Number-Theoretical Applications)
In the present paper we prove that under certain conditions the linear combination of two Euler polynomials with odd degrees P n , m ( x ) = E n ( x ) + c E m ( x ) is always indecomposable over C , where c denotes a rational number. View Full-Text
Keywords: Euler polynomials; higher degree equations Euler polynomials; higher degree equations
MDPI and ACS Style

Pintér, Á.; Rakaczki, C. On the Decomposability of the Linear Combinations of Euler Polynomials with Odd Degrees. Symmetry 2019, 11, 739. https://doi.org/10.3390/sym11060739

AMA Style

Pintér Á, Rakaczki C. On the Decomposability of the Linear Combinations of Euler Polynomials with Odd Degrees. Symmetry. 2019; 11(6):739. https://doi.org/10.3390/sym11060739

Chicago/Turabian Style

Pintér, Ákos, and Csaba Rakaczki. 2019. "On the Decomposability of the Linear Combinations of Euler Polynomials with Odd Degrees" Symmetry 11, no. 6: 739. https://doi.org/10.3390/sym11060739

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