On the Relation between Linear Difference and Differential Equations with Polynomial Coefficients
@article{Immink1999OnTR, title={On the Relation between Linear Difference and Differential Equations with Polynomial Coefficients}, author={G. K. Immink}, journal={Mathematische Nachrichten}, year={1999}, volume={200}, pages={59-76} }
This paper represents the third part of a contribution to the "dictionary" of homogeneous linear differential equations with polynomial coefficients on one hand and corresponding difference equations on the other. In the first part (cf. [4]) we studied the case that the differential equation (D) has at most regular singularities at O and at infinity, and arbitrary singularities in the rest of the complex plane. We constructed fundamental systems of solutions of a corresponding difference… CONTINUE READING
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