On Complete Symmetric Functions

Name: On Complete Symmetric Functions
Creator: Neuman, Edward
Keywords: r-Stirling numbers of 2nd kind, inequalities, B-splines, partitions, divided differences, 0102 computer and information sciences, 0101 mathematics, Real polynomials: analytic properties, etc., 01 natural sciences, q-binomial coefficients

Neuman, Edward

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SIAM Journal on Mathematical Analysis

Article . 1988 . Peer-reviewed

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https://dx.doi.org/10.1137/051...

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On Complete Symmetric Functions

On complete symmetric functions

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1988 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 19, pages 736-750 (issn: 0036-1410, eissn: 1095-7154,

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Authors: Neuman, Edward;

doi: 10.1137/0519051

On Complete Symmetric Functions

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Abstract

This paper is devoted to the study of properties of complete symmetric functions playing an important role in the theory of partitions and in combinatorics. Especially the representation and recursive formulas and inequalities involving functions in question are given. The theory is accompanied by some applications.

Keywords

r-Stirling numbers of 2nd kind, inequalities, B-splines, partitions, divided differences, Real polynomials: analytic properties, etc., q-binomial coefficients, complete symmetric functions

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