Sentence examples for converging series for from inspiring English sources

Besides, many rapidly converging series for (zeta (2n+1)) have been introduced by Srivastava in a review article [13] and by other authors [12, 14].

If the logarithm of a large integer n is known, then this series yields a fast converging series for log(n+1).

In the present work, a more convenient form of Green's function for such a waveguide is obtained as a sum of two quickly converging series.

The solution of the lowest order asymptotic term is then related to a Green's function for energy loss and straggling coupled to nuclear attenuation providing the lowest order term in a rapidly converging Neumann series for which higher order collisions terms are related to the fragmentation events including energy dispersion and downshift.

For non-integer values ofs, the four solution functions are converging power series.

The dynamic Green's functions for thin rectangular plates having two opposite edges simply supported are given in terms of a rapidly converging Levy series.

It is proved that for a Banach Lie algebraLthe Baker Campbell–Hausdorff series converges for any paira, b∈Lif and only if for eachc∈Lthe adjoint operatoradcis quasi-nilpotent.

If (-1 < operatorname{Re} c-a-b) <0), then the seRe} c-a-beRe} c-a-bitionally for (vert zeta vert =1) with (zetaneq1).

(A.8) The series converges absolutely for (x,y inmathbf{C}) with (vert xvert <1), (vert yvert <1) (for more properties of (F_{1}), see [49], pp.224-228).

That is, the operator (I − L − 1 B ) − 1 exists, and when applied to a given initial condition the corresponding series converges absolutely for any evolution time t.

For (sigma >0), the series converges for all x, provided that (c neq 0, -2,ldotsdots) .