- #1

zetafunction

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[tex] \int_{0}^{\infty}dx(x-a)^{-3}x^{2} [/tex]

we could propose as regularized value the value of F(-a) , where F is the integral

[tex] \int_{0}^{\infty}dx(x+b)^{-3}x^{2} [/tex] so if we could regularize this simply setting b=-a the IR divergence dissapear

is this method valid , to analytic continua with respect to some parameters into the real or complex plane.