RingElement * DiffOp -- scaling of differential operators

Synopsis

• Operator: *

• Usage:

  c*D

• Inputs:
  • c, a ring element, in the same ring as D, or a Number
  • D, a differential operator
• Outputs:
  • a differential operator

Description

i1 : R = QQ[x,y];

i2 : D = diffOp{x => x^2+ y, y^2 => 1}

       2     2
o2 = dy  + (x  + y)dx

o2 : DiffOp

i3 : y*D

         2     2     2
o3 = y*dy  + (x y + y )dx

o3 : DiffOp

i4 : 2*D

         2      2
o4 = 2*dy  + (2x  + 2y)dx

o4 : DiffOp