Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

Explicit computations with the divided symmetrization operator


Author: Tewodros Amdeberhan
Journal: Proc. Amer. Math. Soc. 144 (2016), 2799-2810
MSC (2010): Primary 05E10
DOI: https://doi.org/10.1090/proc/12931
Published electronically: October 22, 2015
MathSciNet review: 3487215
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Given a multi-variable polynomial, there is an associated divided symmetrization (in particular turning it into a symmetric function). Postinkov has found the volume of a permutohedron as a divided symmetrization (DS) of the power of a certain linear form. The main task in this paper is to exhibit and prove closed form DS-formulas for a variety of polynomials and some rational functions. We hope the results to be valuable and available to research practitioners in these areas. In addition, the methods of proof utilized here are simple and amenable to many more analogous computations.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 05E10

Retrieve articles in all journals with MSC (2010): 05E10


Additional Information

Tewodros Amdeberhan
Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
Email: tamdeber@tulane.edu

DOI: https://doi.org/10.1090/proc/12931
Received by editor(s): July 9, 2015
Received by editor(s) in revised form: August 23, 2015
Published electronically: October 22, 2015
Communicated by: Ken Ono
Article copyright: © Copyright 2015 American Mathematical Society