Reference
G. N. Watson,A Treatise on the Theory of Bessel Functions, Cambridge, (1922), p. 183 formula (15).
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Akaike, H. On the distribution of the product of two Γ-distributed variables. Ann Inst Stat Math 8, 53–54 (1956). https://doi.org/10.1007/BF02863567
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DOI: https://doi.org/10.1007/BF02863567