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Symmetric α-Stable Distributions with Noninteger α > 2 and Related Stochastic Processes

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We construct analogs of symmetric α-stable distributions for noninteger indices α > 2 and study their relations to solutions of the Cauchy problem for some evolution equations.

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Correspondence to M. V. Platonova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 442, 2015, pp. 101–117.

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Platonova, M.V. Symmetric α-Stable Distributions with Noninteger α > 2 and Related Stochastic Processes. J Math Sci 225, 791–801 (2017). https://doi.org/10.1007/s10958-017-3494-1

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  • DOI: https://doi.org/10.1007/s10958-017-3494-1

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