Remark on an iterative formula
B. Jovanović (1972)
Matematički Vesnik
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B. Jovanović (1972)
Matematički Vesnik
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W. Solak (1971)
Annales Polonici Mathematici
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Z. Kowalski (1963)
Annales Polonici Mathematici
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B. Jovanović (1972)
Matematički Vesnik
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Paweł Solarz (2012)
ESAIM: Proceedings
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We show that the theorem proved in [8] generalises the previous results concerning orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number (see [2], [6], [10] and [7]).
Jean-Claude Ndogmo, Fazal Mahomed (2014)
Open Mathematics
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An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations...
Solarz, Paweł (2002)
Mathematica Pannonica
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D.J. Rose, P.J. Lanzkron, D.B. Szyld (1990/91)
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Katarina Surla (1981)
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N. Levenberg, L. Reichel (1993/94)
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Jan Mandel (1985)
Numerische Mathematik
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Beata Strycharz-Szemberg, Tomasz Szemberg (2011)
Open Mathematics
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We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.