GAMALG Special Functions Definitions for Special Functions

21.3: SPECINT

- The Hypergeometric Special Functions Package HYPGEO is still under development. At the moment it will find the Laplace Transform or rather, the integral from 0 to INF of some special functions or combinations of them. The factor, EXP(-P*var) must be explicitly stated. The syntax is as follows: SPECINT(EXP(-P*var)*expr,var); where var is the variable of integration and expr may be any expression containing special functions (at your own risk). Special function notation follows:

%J[index](expr)         Bessel Funct 1st Kind
%K[index](expr)           "     "    2nd Kind
%I[     ](    )         Modified Bessel
%HE[     ](  )          Hermite Poly
%P[  ]( )               Legendre Funct
%Q[  ]( )               Legendre of second kind
HSTRUVE[ ]( )           Struve H Function
LSTRUVE[ ]( )             "    L Function
%F[ ]([],[],expr)       Hypergeometric Function
GAMMA()
GAMMAGREEK()
GAMMAINCOMPLETE()
SLOMMEL
%M[]()                  Whittaker Funct 1st Kind
%W[]()                     "       "    2nd  "

For a better feeling for what it can do, do DEMO(HYPGEO,DEMO,SHARE1); .

GAMALG

Special Functions

Definitions for Special Functions