Solve Problem w/ Generating Function e_m(x1-xn)

Punkyc7
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I am suppose to use the generating function for e_{m}(x_{1} . . . . x_{n}) to solve a problem. I have tried looking for it but I can not seem to find any information on it. Does anyone know what it is?
 
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More clues please. What area of mathematics is this? What is this em function?
 
Or tell us what "this problem" is?
 
e_{m} is the elementary symmetric functions
 
Punkyc7 said:
e_{m} is the elementary symmetric functions

OK, so what do you want to know about those?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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