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S. Karlin and J. McGregor, Coincidence probabilities, Pacific J. Math. 9 (1959), 1141-1164. MR 0114248 (22:5072)

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-, Classical diffusion processes and total positivity, J. Math. Anal. Appl. 1 (1960), 163-183. MR 0121844 (22:12574)

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H. P. McKean, Jr., Elementary solutions for certain parabolic partial differential equations, Trans. Amer. Math. Soc. 82 (1956), 519-548. MR 0087012 (19:285b)

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I. J. Schoenberg, On smoothing operations and their generating functions, Bull. Amer. Math. Soc. 59 (1953), 199-230. MR 0056042 (15:16d)

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D. Widder, The Laplace transform, Princeton Univ. Press, Princeton, N. J., 1941. MR 0005923 (3:232d)

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F. Gantmacher and M. Krein, Sur les matrices complètement non négatives et oscillatoires, Compositio Math. 4 (1937), 445-476. MR 1556987