On the Relation between Linear Difference and Differential Equations with Polynomial Coefficients

  title={On the Relation between Linear Difference and Differential Equations with Polynomial Coefficients},
  author={G. K. Immink},
  journal={Mathematische Nachrichten},
  • G. K. Immink
  • Published 1999
  • Mathematics
  • Mathematische Nachrichten
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… Expand
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