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References
Abramovitz, M., Segun, I. A.: Handbook of mathematical functions. New York: Dover 1968
Burchnall, J. L.: The Bessel polynomials. Canad. J. Math. 31, 62–68 (1951)
Grosswald, E.: The Student t-distribution of an odd number of degrees of freedom is infinitely divisible (to appear)
Ismail, M. E. H., Kelker, D. H.: The Bessel polynomials and the student t-distribution. Siam J. Math. Anal. 7, 82–91 (1976); see also the Abstract in the Notices of the A.M.S. 22, A-151 (1975)
Kelker, D. H.: Infinite divisibility and various mixtures of the normal distribution. Ann. Math. Statist. 42, 802–808 (1971)
Watson, G. N.: A treatise on the theory of Bessel functions. Second Edition. Cambridge: University Press 1962
Widder, D. V.: The Laplace transform. Princeton: University Press 1946
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Grosswald, E. The student t-distribution of any degree of freedom is infinitely divisible. Z. Wahrscheinlichkeitstheorie verw Gebiete 36, 103–109 (1976). https://doi.org/10.1007/BF00533993
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DOI: https://doi.org/10.1007/BF00533993