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Kyounghee Kim, Moment Generating Function of the Reciprocal of an Integral of Geometric Brownian Motion, Proceedings of the American Mathematical Society, Vol. 132, No. 9 (Sep., 2004), pp. 2753-2759 ...
Moshe Arye Milevsky, Steven E. Posner, Asian Options, the Sum of Lognormals, and the Reciprocal Gamma Distribution, The Journal of Financial and Quantitative Analysis ...