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

DOI:
https://doi.org/10.1090/S0002-9939-1975-0397054-3

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.

**[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**0190118**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1975-0397054-3

Keywords:
Eulerian function,
Eulerian numbers,
-summation formula

Article copyright:
© Copyright 1975
American Mathematical Society