Abstract The divergent integral , for and , is assigned, under certain conditions, the value equal to the simple average of the contour integrals , where () is a path that starts from and ends at , and which passes above (below) the pole at . It is shown that this value, which we refer… Read More »
Abstract The divergent integral , for and , is assigned, under certain conditions, the value equal to the simple average of the contour integrals , where () is a path that starts from and ends at , and which passes above (below) the pole at . It is shown that this value, which we refer… Read More »
We, physicists, are obviously not afraid. Our literature, from our notes to our papers to our books, is replete with them. We are not at all embarrassed by our seemingly wanton disregard to mathematical rigor in our mathematical acrobatics that often lead to our ill-defined or infinite-valued divergent integrals. Our enduring affair with such almost… Read More »