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System of equation doesn't want to get solved

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#systems-of-equations #rational-functions #symmetric-functions
173
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If $a+b+c = 4, a^2+b^2+c^2=7, a^3+b^3+c^3=28$ find $a^4+b^4+c^4$ and $a^5+b^5+c^5$

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#polynomials #symmetric-functions
145
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Monotonicity of quotients of elementary symmetric polynomials

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#calculus #polynomials #symmetric-polynomials #monotone-functions #symmetric-functions
55
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A simple zeroes polynomial which constructs another one

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#polynomials #roots #symmetric-functions
222
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what symmetry property is related to $f(x)+f(1/x)=1$?

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#functions #symmetry #symmetric-functions
155
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Prove T is symmetric if and only if b=c

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#linear-algebra #eigenvalues-eigenvectors #symmetric-functions
35
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Functions with symmetrical behaviour with respect to an axis or a plane

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#analysis #derivatives #partial-derivative #symmetric-functions
446
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The solutions for the equation $\frac{a}{c-b+1}+\frac{b}{a-c+1}+\frac{c}{b-a+1}=0.$

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#systems-of-equations #rational-functions #symmetric-functions
89
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Designing a symmetric function

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#symmetric-functions
192
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Dimension of the Image of Young Projectors corresponding to Tensor factors.

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#representation-theory #symmetric-groups #symmetric-polynomials #symmetric-functions #young-tableaux
267
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On constructing symmetric positive definite kernels as sums of Gaussians

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#real-analysis #symmetric-functions
321
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Littlewoods First Principle problem

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#real-analysis #measure-theory #lebesgue-measure #symmetric-functions
945
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Properties of the 'forgotten' symmetric polynomials

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#combinatorics #symmetric-polynomials #symmetric-functions #algebraic-combinatorics
587
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Minimums of symmetric functions

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#symmetric-functions
248
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Cauchy Identity for a specialized product of Schur polynomials

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#representation-theory #symmetric-groups #symmetric-polynomials #symmetric-functions #young-tableaux

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