The ramified Siegel series can be obtained from the Fourier coefficients of the Siegel-Eisenstein series. Several research has been carried out on the Siegel-Eisenstein series. In this talk, we will discuss the calculation of the recursion formula for the ramified Siegel series. We have shown this recursion formula by constructing a bijective proof from the combinatorial formula used by Sato and Hironaka to show the local density. We will discuss the functional equations of the ramified Siegel series if time permits.