Abstract
In section 2.4, the group H of the random walk was shown to be of even order 2n, n=2,..., ∞. Throughout this chapter, n is supposed to be finite and the functions q,q,q 0 are polynomials. In this case, we are able to characterize completely the solutions of the basic functional equation, and also to give necessary and sufficient conditions for these solutions to be rational or algebraic.
The erratum of this chapter is available at http://dx.doi.org/10.1007/978-3-642-60001-2_10
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© 1999 Springer-Verlag Berlin Heidelberg
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Fayolle, G., Iasnogorodski, R., Malyshev, V. (1999). The Case of a Finite Group. In: Random Walks in the Quarter-Plane. Applications of Mathematics Stochastic Modelling and Applied Probability, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60001-2_4
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DOI: https://doi.org/10.1007/978-3-642-60001-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64217-3
Online ISBN: 978-3-642-60001-2
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