Article ID Journal Published Year Pages File Type
1892151 Chaos, Solitons & Fractals 2008 6 Pages PDF
Abstract

We consider the quadratic family Qc(z) = z2 + c and the solutions of the Poincaré and Schröder functional equations at three different fixed points of Qc. Comparing these solutions yields Fourier series with quickly decreasing coefficients. The problem is connected with the Karlin–McGregor function derived in population biology.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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