Some extensions of the Brock-Carlitz identity

Cohen, M. E.; Sun, H. S.

doi:10.1090/S0002-9939-1979-0534414-5

Some extensions of the Brock-Carlitz identity
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by M. E. Cohen and H. S. Sun PDF

Proc. Amer. Math. Soc. 76 (1979), 178-185 Request permission

Abstract:

The paper deals with a number of generalizations of an identity first introduced by Brock, and subsequently investigated in some detail by Carlitz. The theorem presented in this paper not only extends the formulas of Carlitz, but also shows that a multi-dimensional function satisfies the identity. A result is also deduced regarding the positive nature of the recurrence relation.

References

4

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