next | previous | forward | backward | up | top | index | toc | Macaulay2 website
Dmodules :: cssExpts

cssExpts -- the exponents of the canonical series solutions of I in the direction of a weight vector

Synopsis

Description

There are examples in the tutorial that can be moved here. Code Pre

i1 : R1 = QQ[z]

o1 = R1

o1 : PolynomialRing
i2 : W1 = makeWA R1

o2 = W1

o2 : PolynomialRing, 1 differential variables
i3 : a=1/2

     1
o3 = -
     2

o3 : QQ
i4 : b=3

o4 = 3
i5 : c=5/3

     5
o5 = -
     3

o5 : QQ
i6 : J = ideal(z*(1-z)*dz^2+(c-(a+b+1)*z)*dz-a*b) -- the Gauss hypergeometric equation, exponents 0, 1-c

              2  2       2   9       5     3
o6 = ideal(- z dz  + z*dz  - -z*dz + -dz - -)
                             2       3     2

o6 : Ideal of W1
i7 : cssExpts(J,{1})

              2
o7 = {{0}, {- -}}
              3

o7 : List

Ways to use cssExpts :

For the programmer

The object cssExpts is a method function.