【摘要】 本文给出连带勒让特函数P₁（x）的二个新递推公式,由它只需经简单的代数运算就可从一阶连带勒让特函数P₁⁰（x）与P₁¹（x）逐次求得任意高阶连带勒让特函数。并在这两个新公式基础上导得球面谐和函数Y_l（θ,φ）的降阶表达式。更多还原

【Abstract】 Two new recurrence formulas of associated Legendre function P_?^?（x） are given, using these formulas, we can extract ang higher order associated Legendre function from P₁⁰（x） and P₁¹（x）. A new lowering-order expression of spherical harmonic function is also derived from these two new recurrence formulas.更多还原