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On convolutional decompositions of the generalized inverse Gaussian distribution and the student \(t\)-distributions. (English) Zbl 0943.44002

Bainov, D. (ed.), Proceedings of the 9th international colloquium on differential equations, Plovdiv, Bulgaria, August 18-23, 1998. Utrecht: VSP. 411-415 (1999).
The author studies certain convolutional integral equations and shows that convolutional decompositions can be obtained from generalized Gaussian distributions and Student t-distributions.
For the entire collection see [Zbl 0914.00066].

MSC:

44A10 Laplace transform
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
60E07 Infinitely divisible distributions; stable distributions
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