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The probability densities of the first hitting times of Bessel processes. (English) Zbl 1302.60063

Summary: We are concerned with the first hitting times of the Bessel processes. We give explicit expressions for the densities by means of the zeros of the Bessel functions and show their asymptotic behavior.

MSC:

60G12 General second-order stochastic processes
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)