The ABC of hyper recursions
نویسندگان
چکیده
منابع مشابه
The ABC of Hyper Recursions
Each family of Gauss hypergeometric functions fn = 2F1(a + ε1n, b + ε2n; c + ε3n; z), for fixed εj = 0,±1 (not all εj equal to zero) satisfies a second order linear difference equation of the form Anfn−1 + Bnfn + Cnfn+1 = 0. Because of symmetry relations and functional relations for the Gauss functions, many of the 26 cases (for different εj values) can be transformed into each other. We give a...
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The Period Lengths of Inversive Congruential Recursions
They used this method as a nonlinear method to generate pseudorandom numbers. Niederreiter [10] generalized it over arbitrary finite field GF(q) when he studied pseudorandom vectors. See also Eichenauer-Herrmann [5] and Niederreiter [11, Chapters 8 and 10] and [12] for more details on these methods. Because the recursion (1) is used to construct pseudorandom numbers and pseudorandom vectors, th...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2006
ISSN: 0377-0427
DOI: 10.1016/j.cam.2005.01.041