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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: 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
  • [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
  • [4] D. P. Roselle, Generalized Eulerian functions and a problem in partitions, Duke Math. J. 33 (1966), 293–304. MR 190118

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Keywords: Eulerian function, Eulerian numbers, $ q$-summation formula
Article copyright: © Copyright 1975 American Mathematical Society