- #1
mhill
- 189
- 1
if we had that [tex] A_{i,j,k,l} [/tex] is a set of number could we obtain for the integral
[tex] \int_{-\infty}^{\infty} dV e^{-A_{i,j,k,l}x^{i}x^{j}x^{k}x^{l}} = C |A_{i,j,k,l}|^{-b} [/tex]
here C and b are real constant, i am looking for a quartic or similar analogue to Gaussian integral, but can be defined as a generalization to the usual Gaussian integral for quartic and further terms ?
[tex] \int_{-\infty}^{\infty} dV e^{-A_{i,j,k,l}x^{i}x^{j}x^{k}x^{l}} = C |A_{i,j,k,l}|^{-b} [/tex]
here C and b are real constant, i am looking for a quartic or similar analogue to Gaussian integral, but can be defined as a generalization to the usual Gaussian integral for quartic and further terms ?