The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Differential Resolvents
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
John Nahay

Posts: 104
Registered: 12/6/04
Differential Resolvents
Posted: Jul 1, 1996 2:57 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I am working on a dissertation in math at Rutgers University. My goal is
to find as simple a formulae as possible for the linear, differential
equation of order N with x as dependent variable, y as independent
variable, and y=P(x) is a polynomial in x of degree N, P(0)=0. This
linear ODE is called the "differential resolvent" (DR) of the polynomial,
P. The coefficient functions making up DR are polynomials in y and the
coefficients of P. The gcd of these polynomials is 1.

In the course of this work, I need many steps. Here are two of them:
I hope these are not elementary combinatorical problems.

1) Given positive integers n and k, how many partitions of n with no part
bigger than k exist?

2) Given partitions, P and Q, how many domino (brick) tabloids are there
of shape P and type Q, as a function of the parts of P and Q?

John Nahay
Reply to me also.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.