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.
Introduced in 2007
(6.0)
| Updated in 2008
(7.0)