【摘要】 利用形式幂级数的变换技巧，得到了涉及乘法数论函数及广义Ｆｉｂｏｎａｃｃｉ数、广义Ｌｕｃａｓ数的倒数和的若干恒等式。所给出的恒等式均具有显式形式；当退化到特殊情形时，可分别得到一类有意义的无穷和式。更多还原

【Abstract】 A class of identities invofving multiplicative functions and linear recurrencesequences of the second order are derived via the technique of formal power series transformation.In pedicular cases , some infinite sums may be deduced.更多还原