0} with f(z) = , m is Natural number is considered, it is obtain that family has non-critically finite. The dynamics of the meromorphic transcendental functions fλ Ƭ is studied in detailed. It was found that the bifurcations in the dynamics of the functions fλ(x) occur at parameter values λ1 and λ2 where λi = Φ (xi), (i = 1, 2), and Φ(x) = with x1 is the solution of the equation coth x = while x2 is the unique positive roots of the equation Φ′ (x) = 0.]]>