IJPAM: Volume 117, No. 1 (2017)

Title

JULIA SETS AS COMPLEX POLYNOMIAL

Authors

M. Senthamaraikannan$^1$, R. Kamali$^2$, G. Jayalalitha$^3$
$^{1,2,3}$Department of Mathematics
Vels University
Chennai, 600 117, Tamil Nadu, INDIA

Abstract

Julia sets are certain fractal sets in the complex plane that arise from the dynamics of complex polynomials and it characterize by the structure (i.e., boundary) is the main aim to discuss the complex polynomial.

History

Received: 2017-06-08
Revised: 2017-07-13
Published: November 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 37F10, 37F50, 30D45, 37C25
Key Words and Phrases: polynomials, Julia set, normal family, periodic points

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Bibliography

1
Paul Blanchard, Complex analytic dynamics on the Riemann sphere, Bulletin (New Series) of the American Mathematical Society, 11, No. 1 (1984).

2
Gaston Julia, Memoire Sur I'iteration des functions rationnelles, Journal de mathematiques pures et appliquecs $8^e$ serie, 1 (1918), 47-246.

3
H.-O. Peitgen, P.H. Richter, The Beauty of Fractals. Images of Complex Dynamical System, Springer, Berlin (1986).

4
H.-O. Peitgen, H. Jurgens and D. Saupe, Chaos and Fractals, New Frontiers of Science, Springer-Verlag, New York Inc. (1992), doi: https://doi.org/101007/b97624.

5
Devaney L. Robert, Complex dynamics of quadratic polynomial's, Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets, 49 (1994), 1-30.

6
Kenneth J. Falconer, Fractal Geometry Mathematical Foundations and Applications, Third Edition, Wiley, 2014.

How to Cite?

DOI: 10.12732/ijpam.v117i1.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 117
Issue: 1
Pages: 81 - 86


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