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Journals ACM Communications in Computer Algebra Volume 41 Issue 1-2

A Wronskian (resp. Casoratian) criterion is useful to test linear dependence of elements in a differential (resp. difference) field over constants. We generalize this criterion for invertible hyperexponential elements in a differential-difference ring extension over a field F . The generalization also enables us to connect similarity and F -linear dependence of invertible hyperexponential elements.

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Testing linear dependence of hyperexponential elements

Li, Ziming; Wu, Min; Zheng, Dabin
ACM Communications in Computer Algebra , Volume 41 (1-2)
Association for Computing Machinery – Mar 1, 2007

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