共查询到20条相似文献,搜索用时 15 毫秒
1.
2.
3.
The asymptotic distribution of branching type recursions (Ln) of the form
is investigated in the two-dimensional case. Here
is an independent copy of Ln−1 and A,B are random matrices jointly independent of
. The asymptotics of Ln after normalization are derived by a contraction method. The limiting distribution is characterized by a fixed point equation. The assumptions of the convergence theorem are checked in some examples using eigenvalue decompositions and computer algebra. 相似文献
4.
Euler discovered a recursion formula for the Riemann zeta function evaluated at the even integers. He also evaluated special Dirichlet series whose coefficients are the partial sums of the harmonic series. This paper introduces a new method for deducing Euler's formulas as well as a host of new relations, not only for the zeta function but for several allied functions. 相似文献
5.
Each family of Gauss hypergeometric functions for fixed (not all equal to zero) satisfies a second order linear difference equation of the form Because of symmetry relations and functional relations for the Gauss functions, many of the 26 cases (for different values) can be transformed into each other. In this way, only with four basic difference equations can all other cases be obtained. For each of these recurrences, we give pairs of numerically satisfactory solutions in the regions in the complex plane where , and being the roots of the characteristic equation.
6.
Amparo Gil Javier Segura Nico M. Temme 《Journal of Computational and Applied Mathematics》2006,190(1-2):270-286
Each member of the family of Gauss hypergeometric functions
fn=2F1(a+ε1n,b+ε2n;c+ε3n;z),