recursion formula

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recursion formula

[ri′kər·zhən ‚fȯr·myə·lə]
(mathematics)
An algorithm allowing computation of a succession of quantities. Also known as recursion relation.
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Abstract In this paper, some recursion formulae of sums for the Riemann Zeta function and Dirchlet, series are obtained through expanding several simple function on [-[pi],[pi]] or [0, 2[pi]] by using the Dirichlet theorem in Fourier series theory.
The aim of this paper is to obtain recursion formulae of sums for the Riemann Zeta function and Dirchlet series through expanding some simple function on [-[pi],[pi]] or [0; 2[pi]] by using the Dirchlet theorem in Fourier series theory.