## The representation of $$e^{-x^\lambda}$$ as a Laplace integral.(English)Zbl 0060.25007

### Keywords:

integral equations, integral transforms
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### References:

 [1] S. Bochner, Completely monotone functions of the Laplace operator for torus and sphere, Duke Math. J. 3 (1937), no. 3, 488 – 502. · Zbl 0017.30902 [2] E. Hille and J. D. Tamarkin, On moment functions, Proc. Nat. Acad. Sci. U. S. A. vol. 19 (1933) pp. 902-908. · Zbl 0008.00903 [3] Emil L. Post, Generalized differentiation, Trans. Amer. Math. Soc. 32 (1930), no. 4, 723 – 781. · JFM 56.0349.01 [4] David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, Princeton, N. J., 1941. · Zbl 0063.08245 [5] G. Doetsch, Theorie und Anwendung der Laplace-Transformationen, Berlin, 1937. · JFM 63.0368.01 [6] Pierre Humbert, Nouvelles correspondances symboliques, Bull. Sci. Math. (2) 69 (1945), 121 – 129 (French). · Zbl 0060.25112
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