Power function solutions of iterative functional differential equations.
Talwong, Sukrawan, Laohakosol, Vichian, Cheng, Sui Sun (2004)
Applied Mathematics E-Notes [electronic only]
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Talwong, Sukrawan, Laohakosol, Vichian, Cheng, Sui Sun (2004)
Applied Mathematics E-Notes [electronic only]
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Ren, Hongshan (2001)
Applied Mathematics E-Notes [electronic only]
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James Joseph Sylvester
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Chakrabarti, Ranabir, Santhanam, Thalanayar S. (2000)
International Journal of Mathematics and Mathematical Sciences
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Weinian Zhang (1997)
Annales Polonici Mathematici
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The concept of characteristic interval for piecewise monotone functions is introduced and used in the study of their iterative roots on a closed interval.
Bing Xu (2004)
Annales Polonici Mathematici
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Analytic solutions of polynomial-like iterative functional equations with variable coefficients are discussed in the complex field ℂ by reducing to an auxiliary equation and by applying known results for systems of nonlinear functional equations of finite orders.
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
P. H. Diananda (1964)
Annales Polonici Mathematici
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J. Cohn (1977)
Acta Arithmetica
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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.
Olivier Carton, Christian Choffrut (2010)
RAIRO - Theoretical Informatics and Applications
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This contribution extends the notions of roots and periodicity to strings of transfinite lengths. It shows that given a transfinite string, either it possesses a unique root or the set of its roots are equivalent in a strong way.