The classical Poincaré-Bertrand transposition formula for the inversion of the order of integration in repeated Cauchy-type integrals is generalized in accordance with a new interpretation of ...
It is shown that there do not exist integration rules of the form $\int^\infty_0 f(x) dx = \sum_{i=1}^n w_if(x_i) + C_nf^{(m)}(\xi),\quad 0 < \xi < \infty$. Journal ...
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