Evolution of Structure Functions with Jacobi Polynomial: Convergence and Reliability

Details Evolution of Structure Functions with Jacobi Polynomial: Convergence and Reliability Evolution of Structure Functions with Jacobi Polynomial: Convergence and Reliability

1998-10-15

arxiv.org/abs/hep-ph/9810368v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Encoded and gzipped LateX file with four postscripted figures

Scientific paper

The Jacobi polynomial has been advocated by many authors as a useful tool to
evolve non-singlet structure functions to higher $Q^2$. In this work, it is
found that the convergence of the polynomial sum is not absolute, as there is
always a small fluctuation present. Moreover, the convergence breaks down
completely for large $N$.

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