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On the operational solution of linear difference equations whose coefficients are expressible by factorial series

Published online by Cambridge University Press:  24 October 2008

L. M. Milne-Thomson
L. M. Milne-Thomson
Affiliation:
Corpus Christi College
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Extract

In a former paper the application of Boole's operators π and ρ to linear difference equations whose coefficients are rational functions was discussed. Reference should be made to this paper for the definitions of π and ρ and for Theorems I–V. In the present paper a more general type of equation is considered. Two new theorems are proved and used to obtain the formal solution and to establish the convergence.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 28 , Issue 4 , October 1932 , pp. 463 - 474
Copyright
Copyright © Cambridge Philosophical Society 1932

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References

* Proc. Camb. Phil. Soc., 28 (1932), 311–318.Google Scholar

* Nörlund, N. E., Leçons sur les équations linéaires, Paris (1929).Google Scholar