alaguerre alegendre chebs chebt chebtd chebu gegenbauer gegenbauerd gegenbauerd1 hermite jacobi jacobid jacobid1 jacobid2 laguerre legendre legendred sharmonic sharmonic_sub sharmonici sharmonicr

alaguerre() double alaguerre ( unsigned int  n, unsigned int  m, double  x  ) Associated Laguerre polynomial Lnm(x) Purpose alaguerre computes the associated Laguerre polynomial of x. Lnm(x) = (-1)^m dm/dxm Ln+m(x) Returns Associated Laguerre polynomial Lnm(x). Parameters [in] n Degree of polynomial n. [in] m Order of polynomial m. [in] x Argument x. Error handling Range error (ERANGE) may be reported. Note Note that the worst errors occur when the degree increases, values greater than ~120 are very unlikely to produce sensible results, especially when the order is also large. Further the relative errors are likely to grow arbitrarily large when the function is very close to a root. Reference boost/math/special_functions