The Coulomb integral is explicitly expressed in algebraic form by computer-oriented technique.
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Ling, R. (1982). SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS. International Journal of Mathematics and Mathematical Sciences, 1982(), 123-131. https://doi.org/10.1155/S016117128200012X
Kroll, W. (1973). Solution of a Dual Integral Equation. Chinese Journal of Physics, 11(1), 49-56. https://www.airitilibrary.com/Article/Detail?DocID=05779073-197304-201310080001-201310080001-49-56