WAlaguerre WAlegendre WChebt WChebtd WChebu WGegenbauer WGegenbauerd WGegenbauerd1 WHermite WJacobi WJacobid WJacobid1 WJacobid2 WLaguerre WLegendre WLegendred WSharmonic WSharmonici WSharmonicr

WChebu() Function WChebu ( N As  Long, X As  Double  ) Chebyshev polynomial of second kind Un(x) Purpose This function computes the Chebyshev polynomial of the second kind Un(x). Un-1(x) = sin(nt)/sin(t), where x = cos(t) This polynomial follows the recurrence formula: Un+1(x) = 2xUn(x) - Un-1(x), where U0(x) = 1, U1(x) = 2x (n > 0) Returns Chebyshev polynomial of second kind Un(x). Parameters [in] N Argument n. (N > 0) [in] X Argument x. Reference boost/math/special_functions