Electron. J. Diff. Eqns., Vol. 2003(2003), No. 69, pp. 1-4.

On the composition conjectures

Mohamad A. M. Alwash

We describe a class of polynomials that satisfy the composition conjecture for the moments. We also show that the composition conjecture for the moments is not weaker than the composition conjecture for a center. The problem is related to the centers of Abel differential equation.

Submitted April 17, 2003. Published June 16, 2003.
Math Subject Classifications: 34C25, 30E05.
Key Words: Abel differential equation, center conditions, composition conjecture, moments.

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Mohamad A. M. Alwash
Department of Mathematics
West Los Angeles College
9000 Overland Avenue
Los Angeles, CA 90230-3519, USA
email: alwashm@wlac.edu

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