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Date: 3-10-2020
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The Casoratian of sequences , , ..., is defined by the determinant
The Casoratian is implemented in the Wolfram Language as Casoratian[y1, y2, ..., n].
The solutions , , ..., of the linear difference equation
for , 1, ..., are linearly independent sequences iff their Casoratian is nonzero for (Zwillinger 1995).
REFERENCES:
Zwillinger, D. (Ed.). CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press, p. 229, 1995.
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