First hitting time and place, monopoles and multipoles for pseudo-processes driven by the equation .

Lachal, Aimé

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In this paper the index transformation $F (τ) = \int_{0}^{\infty} f (t)_{2} F_{1} (μ + \frac{1}{2} + i τ, μ + \frac{1}{2} - i τ; μ + 1; - t) t^{α} d t$ $_{2} F_{1} (μ + \frac{1}{2} + i τ, μ + \frac{1}{2} - i τ; μ + 1; - t)$ being the Gauss hypergeometric function, is defined on certain space of generalized functions and its inversion formula established for distributions of compact support on $𝐈 = (0, \infty)$ .