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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Some extensions of the Brock-Carlitz identity

Authors: M. E. Cohen and H. S. Sun
Journal: Proc. Amer. Math. Soc. 76 (1979), 178-185
MSC: Primary 05A19
MathSciNet review: 534414
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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.

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Keywords: Combinatorial identities, multiple cyclic sums, recurrence relations
Article copyright: © Copyright 1979 American Mathematical Society