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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A summation formula and some properties of Eulerian functions


Author: R. C. Grimson
Journal: Proc. Amer. Math. Soc. 53 (1975), 290-292
MSC: Primary 33A70; Secondary 10A20
MathSciNet review: 0397054
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Abstract | References | Similar Articles | Additional Information

Abstract: A product formula for Eulerian functions and a general summation method are given.


References [Enhancements On Off] (What's this?)

  • [1] R. L. Graham, Problem E2507, Amer. Math. Monthly 81 (1974), 1111.
  • [2] R. C. Grimson, Some partition generating functions, Proceedings of the Fourth Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1973), Utilitas Math., Winnipeg, Man., 1973, pp. 299–308. MR 0349404 (50 #1898)
  • [3] John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0096594 (20 #3077)
  • [4] D. P. Roselle, Generalized Eulerian functions and a problem in partitions, Duke Math. J. 33 (1966), 293–304. MR 0190118 (32 #7532)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0397054-3
PII: S 0002-9939(1975)0397054-3
Keywords: Eulerian function, Eulerian numbers, $ q$-summation formula
Article copyright: © Copyright 1975 American Mathematical Society