Evolution of Structure Functions with Jacobi Polynomial: Convergence and Reliability

Sanjay K. Ghosh; Sibaji Raha

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arXiv · hep-ph/9810368

Evolution of Structure Functions with Jacobi Polynomial: Convergence and Reliability

Sanjay K. Ghosh·Sibaji Raha

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Abstract

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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Sanjay K. Ghosh, Sibaji Raha. 1998-10-15. Evolution of Structure Functions with Jacobi Polynomial: Convergence and Reliability. https://arxiv.org/abs/hep-ph/9810368

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