Special Functions



15.1 Gamma( z ) - by Doug Burkett
 Returns the value of the Gamma function for the complex number z. Requires that the subroutine Gammaln( ) be present in the same folder.


15.2 Gammaln( z ) - by Doug Burkett
Returns the value of the LogGamma function for the complex number z.


15.3 Bessel( n, z, T )
 Returns the value of the n th Bessel function of the first kind for the number z.  T  terms of the series are used in the approximation. Requires that the subroutine Gamma( ) be present in the same folder.




15.4 chebyT( n )
Returns a list of coefficients for the n th Chebychev Polynomial.




15.5 LagrP( {list1}, {list2} )
Returns a list of coefficients for the Lagrange interpolating polynomial. The example is fitting a quadratic polynomial to the three points ( 0, 3 ), ( 1, 4 ), and ( 2, 3 ).    x - coordinates are in  list1 and corresponding  y - coordinates are in  list2.




15.6 Hermite( n )
Returns the n th Hermite polynomial.




15.7 Legendre( l )
 Returns the l th Legendre polynomial.




15.8 Legendf( l, m )
 Returns the Legendre function.