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Random walk probabilities in terms of Legendre polynomials

In: Mathematica Slovaca, vol. 52, no. 4
Mohamed A. El-Shehawey
Detaily:
Rok, strany: 2002, 443 - 451
O článku:
Asymmetric random walk on non-negative integers $S$, with one or two absorbing boundaries is considered. The probability distribution $( pn ( x|x0 ))$ of being at any position $x \in S$ after $n$ steps, given an initial position $x0 \in S$, from their generating function is obtained in terms of derivatives of Legendre polynomials. This derivation is different from the standard approach.
Ako citovať:
ISO 690:
El-Shehawey, M. 2002. Random walk probabilities in terms of Legendre polynomials. In Mathematica Slovaca, vol. 52, no.4, pp. 443-451. 0139-9918.

APA:
El-Shehawey, M. (2002). Random walk probabilities in terms of Legendre polynomials. Mathematica Slovaca, 52(4), 443-451. 0139-9918.