2.拉盖尔多项式
一般拉盖尔多项式中,当
时,定义
                        
    ![]()
为拉盖尔多项式.它的相应公式为
        
      (母函数展开)
       
     ![]()
       
     ![]()
        ![]()
        ![]()
        ![]()
        ![]()
        ![]()
········································
        
             (拉盖尔微分方程)
       
     
                 
    (正交性)
        
      ![]()
        
               (递推公式)