Takano, K. 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]. Reviewer: Drumi Bainov (Sofia) MSC: 44A10 Laplace transform 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 60E07 Infinitely divisible distributions; stable distributions Keywords:convolutional decomposition; generalized inverse Gaussian distribution PDFBibTeX XMLCite \textit{K. Takano}, in: Proceedings of the 9th international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1998. Utrecht: VSP. 411--415 (1999; Zbl 0943.44002)