Development of the Hubbell Rectangular Source Integral |
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| Authors: | S. L. Kalla A. H. Al-Shammery H. G. Khajah |
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| Affiliation: | (1) Department of Mathematics & Computer Science, Kuwait University, PO Box 5969, Safat, 13060, Kuwait |
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| Abstract: | The integral is the leading term in a series solution appearing in the computation of the radiation field from a plane isotropic rectangular source, and is known as the  Hubbell Rectangular Source Integral – HRSI. A survey of various properties of HRSI, namely its series representations, asymptotic formulas, recurrence relations and approximation formulas, as well as some previous generalizations is presented here. In addition, a further generalization of HRSI using a modified form of the Gauss hypergeometric function is proposed. |
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| Keywords: | rectangular source integral hypergeometric functions asymptotic formulas approximations |
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