Some properties for a class of symmetric functions with applications |
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| Authors: | Wei-Feng?Xia mailto:xwf@hutc.zj.cn" title=" xwf@hutc.zj.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Xiao-Hui?Zhan,Gen-Di?Wang,Yu-Ming?Chu |
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| Affiliation: | (1) Department of Mathematics, University of Craiova, Craiova, 200585, Romania |
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| Abstract: | ![]()
For x = (x 1, x 2, ..., x n ) ∈ ℝ+ n , the symmetric function ψ n (x, r) is defined by $psi _n (x,r) = psi _n left( {x_1 ,x_2 , cdots ,x_n ;r} right) = sumlimits_{1 leqslant i_1 < i_2 cdots < i_r leqslant n} {prodlimits_{j = 1}^r {frac{{1 + x_{i_j } }}
{{x_{i_j } }}} } ,$psi _n (x,r) = psi _n left( {x_1 ,x_2 , cdots ,x_n ;r} right) = sumlimits_{1 leqslant i_1 < i_2 cdots < i_r leqslant n} {prodlimits_{j = 1}^r {frac{{1 + x_{i_j } }}
{{x_{i_j } }}} } , |
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