On derivatives of planar mappings and their connections to complete mappings

Muratović-Ribić, Amela; Pašalić, Enes

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Naslov:	On derivatives of planar mappings and their connections to complete mappings
Avtorji:	ID Muratović-Ribić, Amela (Avtor) ID Pašalić, Enes (Avtor)
Datoteke:	https://www.sciencedirect.com/science/article/pii/S0166218X18302439?via%3Dihub
Jezik:	Angleški jezik
Vrsta gradiva:	Neznano
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	IAM - Inštitut Andrej Marušič
Opis:	Given are necessary conditions for a permutation polynomial to be the derivative of a planar mapping. These conditions are not sufficient and there might exist permutation polynomials which are not derivatives of some planar mapping satisfying these conditions. For the first time we show that there is a close connection between two seemingly unrelated structures, namely planar and complete mappings. It is shown that any planar mapping induces a sequence of complete mappings having some additional interesting properties. Furthermore, a class of almost planar mappings over extension fields is introduced having the property that its derivatives are permutations in most of the cases. This class of functions then induces many infinite classes of complete mappings (permutations) as well.
Ključne besede:	planar mapping, derivatives, complete mappings, permutation polynomials
Leto izida:	2018
Št. strani:	str. 285-290
Številčenje:	#Vol. #250
PID:	20.500.12556/RUP-10031
UDK:	51
ISSN pri članku:	0166-218X
DOI:	10.1016/j.dam.2018.04.023
COBISS.SI-ID:	1540927940
Datum objave v RUP:	19.12.2018
Število ogledov:	2203
Število prenosov:	243
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Gradivo je del revije

Naslov:	Discrete applied mathematics
Skrajšan naslov:	Discrete appl. math.
Založnik:	Elsevier
ISSN:	0166-218X
COBISS.SI-ID:	25342464

Sekundarni jezik

Jezik:	Angleški jezik
Ključne besede:	planarne funkcije, derivati, kompletne permutacije, permutacijski polinomi

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