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Article | REF: AF104 V1

Difference equations

Authors: Guoting CHEN, Jean DELLA DORA

Publication date: October 10, 2007

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4. Linear difference systems with singularity

4.1 Introduction and notations

Let's start with Example 7. The study of the function Γ is not limited to its integer values. We can consider extending this function to real or complex values of the argument, i.e. consider the function Γ defined on and verifying the functional equation: Γ (x + 1) = xΓ (x ), whose asymptotic behavior is well studied.

We adopt...

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