AppellF1 -- Appell F1 system of PDE's

Usage:

AppellF1 {a0,a1,a2,a3}
Inputs:
- a list,
Optional inputs:
- Vars => ..., default value Global
Outputs:
- an ideal, which represents Appell F1 system of PDE's associated to the parameters a0, a1, a2, and a3.

Description

i1 : w = {1,4/5,-2,3/2}

         4      3
o1 = {1, -, -2, -}
         5      2

o1 : List

i2 : I = AppellF1 w

               3  2    2           2  2               14 2     4        
o2 = ideal (- x Dx  - x y*Dx*Dy + x Dx  + x*y*Dx*Dy - --x Dx - -x*y*Dy +
                                                       5       5        
     ------------------------------------------------------------------------
     3       4        2         3  2                2  2             3      
     -x*Dx - -x, - x*y Dx*Dy - y Dy  + x*y*Dx*Dy + y Dy  + 2x*y*Dx + -y*Dy +
     2       5                                                       2      
     ------------------------------------------------------------------------
                                   4
     2y, x*Dx*Dy - y*Dx*Dy + 2Dx + -Dy)
                                   5

o2 : Ideal of QQ[x, y, Dx, Dy]

Caveat

AppellF1 always returns a different ring and will use variables x and y. Input should be a List of 4 numbers.

Ways to use AppellF1:

AppellF1(List)

For the programmer

The object AppellF1 is a method function with options.

The source of this document is in HolonomicSystems/DOC/Dsystems.m2:103:0.

AppellF1 -- Appell F1 system of PDE's

Description

Caveat

See also

Ways to use AppellF1:

For the programmer