Geodesic
The distribution of random evolution in Erlang semi-Markov media
Teoriâ slučajnyh processov, Tome 17 (2011) no. 1, pp. 90-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study a one-dimensional random motion by using a general Erlang distribution for the sojourn times of a switching process and obtain the solution of a four-order hyperbolic PDE in the 2-Erlang case.
Keywords: Random motion, Erlang distribution, differentiable functions on commutative algebras, biwave equation. 
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A. Pogorui. The distribution of random evolution in Erlang semi-Markov media. Teoriâ slučajnyh processov, Tome 17 (2011) no. 1, pp. 90-99. http://geodesic.mathdoc.fr/item/THSP_2011_17_1_a9/

[1] A. A. Pogorui, “Monogenic functions on commutative algebras”, Complex Variables and Elliptic Equations, 52:12 (2007), 1155–1159

[2] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, Cambridge, 1995

[3] Tables of Integral Transforms, ed. A. Erdélyi, McGraw-Hill, New York, 1954

[4] M. A. Pinsky, Lectures on Random Evolution, World Scientific, Singapore, 1991