Casoratian
المؤلف:
Zwillinger, D. (Ed.).
المصدر:
CRC Standard Mathematical Tables and Formulae. Boca Raton, FL: CRC Press
الجزء والصفحة:
p. 229
24-10-2020
1495
Casoratian
The Casoratian of sequences 
, 
, ..., 
is defined by the 
determinant
The Casoratian is implemented in the Wolfram Language as Casoratian[![<span style=]()
{" src="https://mathworld.wolfram.com/images/equations/Casoratian/Inline5.gif" style="height:15px; width:5px" />y1, y2, ...![<span style=]()
}" src="https://mathworld.wolfram.com/images/equations/Casoratian/Inline6.gif" style="height:15px; width:5px" />, 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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