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Tagged with co.combinatorics polynomials
303 questions
1
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Find a common expression (parameterized by y = 1/2, 1 and 2) uniting three (rational) polynomials in k [closed]
I am seeking a common "simple" expression (preferably/presumably a sum of products of linear factors, or sum of products of low-degree factors) uniting the three polynomials (parameterized by $y=\...
- 723
11
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Positivity of polynomial sequences via generating series
In this question I address
the problem of proving the nonnegativity of a numerical sequence
$a_0,a_1,a_2,\dots$ via generating series technique. In the notation
$A(x)=\sum_{n=0}^\infty a_nx^n\ge0$ ...
- 13.5k
3
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Are there existing resources on modular-esque recurrence relations?
Does anyone know where I would be able to get information on analyzing a class of polynomial recurrence relations of a form like this?
$\begin{align*}
f_{n,k}(x) & =a(x)f_{n-1,k}(x)+b(x)f_{n-2,k}(...
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