engleski

Legendre expansion related to the hubbell rectangular source integral

A Legendre odd powers polynomial expansion of arctan(x) is derived for use in solving Hubbell Rectangular Source Integral. As the result, two rapidly convergent series for Hubbell Integral are produced for two respective integral ranges. An upper bound of the absolute error of approximation is such that assures rapid improvement of accuracy for every additional term of the series.

legendre polynomials ; hubbell integral ; gamma radiation ; dose fields

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