Differential equations and maximal ideals on the Weyl algebra $A_2(\mathbb {C})$

Giuliano Bratti; Masako Takagi

Displaying similar documents to “Differential equations and maximal ideals on the Weyl algebra $A_{2} (ℂ)$ ”

Eulerian numbers and operators.

L. Carlitz (1973)

Collectanea Mathematica

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Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson

Rolf Wallisser (2005)

Journal de Théorie des Nombres de Bordeaux

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Let $Q$ be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function $\begin{matrix} G (x) = \sum_{n = 0}^{\infty} \frac{x^{n}}{Q (1) Q (2) \dots Q (n)} . \end{matrix}$