| By analytic method, we solved two order determinantal equation in Matsubara representation when temperature equal to super-conducting critical temperature Tc. We also described as critical temperature according to negative power expand in series of the electron-phonon coupling constant ; derived the calculation formula of the effective phonon specturum , electron-phonon coupling constant and Coulomb pseudopotential and introduce the calculating method of the superconducting critical temperature in the metalic compound MgB2, secondly,compared with for BCS theory of Weak coupling superconductivity and for Eliashberg theory result of the strong couping superconductivity. |
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