The signed Eulerian numbers

To John Riordan, in memoriam.
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Abstract

The basic relation between the signed Eulerian numbers and the classical Eulerian numbers is derived by using two difference methods.

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Supported by the French Coordinated Research Program in Mathematics and Computer Science.

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Supported in part by NSF grant DMS 8901610 while the author was on leave (1989) at Drexel University, Department of Mathematics, Philadelphia, PA 19104, USA.