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*, Proc. Fourth Southeastern Conf. on Combinatorics, Graph Theory, and Computing, 1973, pp. 299-308. MR**0349404 (50:1898)****[3]**J. Riordan,*An introduction to combinatorial analysis*, Wiley Publ. in Math. Statist., Wiley, New York; Chapman & Hall, London, 1958. MR**20**#3077. MR**0096594 (20:3077)****[4]**D. P. Roselle,*Generalized Eulerian functions and a problem in partitions*, Duke Math J.**33**(1966), 293-304. MR**32**#7532. MR**0190118 (32:7532)**

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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