The Schur multiplicative and harmonic convexities of the complete symmetric function

2011 ◽  
Vol 284 (5-6) ◽  
pp. 653-663 ◽  
Author(s):  
Y.-M. Chu ◽  
G.-D. Wang ◽  
X.-H. Zhang
Keyword(s):  
Symmetric Function ◽  
Complete Symmetric Function

Inequalities for Generalized Symmetric Functions

1969 ◽  
Vol 12 (5) ◽  
pp. 615-623 ◽  
Author(s):  
K.V. Menon
Keyword(s):  
Symmetric Function ◽  
Symmetric Functions ◽  
Elementary Symmetric Function ◽  
Generating Series ◽  
Image Position ◽  
Complete Symmetric Function

The generating series for the elementary symmetric function Er, the complete symmetric function Hr, are defined byrespectively.

Two inequalities for the complete symmetric functions

1978 ◽  
Vol 84 (1) ◽  
pp. 1-3 ◽  
Author(s):  
V. J. Baston
Keyword(s):  
Symmetric Function ◽  
Symmetric Functions ◽  
Positive Definite ◽  
Even Order ◽  
Image Position ◽  
Complete Symmetric Function ◽  
Special Case

In (l) Hunter proved that the complete symmetric functions of even order are positive definite by obtaining the inequalitywhere ht denotes the complete symmetric function of order t. In this note we show that the inequality can be strengthened, which, in turn, enables theorem 2 of (l) to be sharpened. We also obtain a special case of an inequality conjectured by McLeod(2).

scholarly journals An Inequality for Complete Symmetric Functions

1978 ◽  
Vol 21 (4) ◽  
pp. 503-504 ◽  
Author(s):  
Samuel A. Ilori
Keyword(s):  
Symmetric Function ◽  
Symmetric Functions ◽  
Real Numbers ◽  
Positive Real ◽  
Image Position ◽  
Complete Symmetric Function

Consider the identitywhere aj, …, am are positive real numbers. Then for r = 1, 2, 3, … Tr =Tr(a1, …, am) is called the rth complete symmetric function in a1, …, am (T0=l).

Corrigenda to “On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces”

2007 ◽  
Vol 14 (4) ◽  
pp. 807-808
Author(s):  
Giorgi Oniani
Keyword(s):  
Symmetric Function ◽  
Compact Operators ◽  
Function Spaces ◽  
J 13

Abstract Corrections to [Oniani, Georgian Math. J. 13: 501–514, 2006] are listed.

The Hammond Series of a Symmetric Function and Its Application to P-Recursiveness

1983 ◽  
Vol 4 (2) ◽  
pp. 179-193 ◽  
Author(s):  
I. P. Goulden ◽  
D. M. Jackson ◽  
J. W. Reilly
Keyword(s):  
Symmetric Function
Sign in / Sign up

Export Citation Format

Share Document