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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Displaying similar documents to “Closed form solutions of iterative functional differential equations.”
Power function solutions of iterative functional differential equations.
Exact solutions of a linear functional differential equation.
Ren, Hongshan (2001)
Applied Mathematics E-Notes [electronic only]
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On the Real and Imaginary Roots of Algebraical Equations
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The Kostant partition functions for twisted Kac-Moody algebras.
Chakrabarti, Ranabir, Santhanam, Thalanayar S. (2000)
International Journal of Mathematics and Mathematical Sciences
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PM functions, their characteristic intervals and iterative roots
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.
Analytic solutions for polynomial-like iterative equations with variable coefficients
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.
On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
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.
Remarks on A. B. Turowicz's and Z. Mikołajska's notes on approximations to roots of positive numbers
P. H. Diananda (1964)
Annales Polonici Mathematici
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Equations with equivalent roots
J. Cohn (1977)
Acta Arithmetica
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Geometry of the locus of polynomials of degree 4 with iterative roots
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.
Periodicity and roots of transfinite strings
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.