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Lagrange and Wilson theorems for the generalized Stirling numbers

Published online by Cambridge University Press:  20 January 2009

E. T. Bell
E. T. Bell
Affiliation:
California Institute of Technology, Pasadena, California, U.S.A.
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If m, n are integers, m > 0, n > 1, the generalized Stirling numbers are defined by the identity in x,

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , Issue 4 , September 1938 , pp. 171 - 173
Copyright
Copyright © Edinburgh Mathematical Society 1938

References

page 171 note 1 So designated by Tweedie, C., Proceedings Edinburgh Mathematical Society, 37 (1918–1919), p. 24.CrossRefGoogle Scholar

page 172 note 1 The case m = 2 of W′ was given by Glaisher, Quarterly Journal, 31 (1900), 34. His method differs from that used here to obtain the general result, and would probably be troublesome to extend.