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math.HO2015
Explicit formulas for orthogonal polynomials derived from their difference equation
Alexander Aycock
We solve the difference equation with linear coefficients by the Momentenansatz to obtain explicit formulas for orthogonal polynomials.
math.HO2015
Bourlet's Theorem for the product of differential operators, an application of the operator method and a proof for , that Euler missed, derived from difference equations
Alexander Aycock
We give another proof for \[ \sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{π^2}{6} \] that basically follows from the theory of difference equations.