LucasL

LucasL[n]
gives the Lucas number .

LucasL[n, x]
gives the Lucas polynomial .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The satisfy the recurrence relation with , .
  • For any complex value of n the are given by the general formula , where is the golden ratio.
  • The Lucas polynomial is the coefficient of in the expansion of .
  • The Lucas polynomials satisfy the recurrence relation .
  • LucasL can be evaluated to arbitrary numerical precision.
  • LucasL automatically threads over lists.
New in 6 | Last modified in 7
New to Mathematica? Find your learning path »
Have a question? Ask support »