Performing this operation on the Riemann zeta function yields the Stieltjes constants. For a staticcharge distribution, the multipole moments can be found by performing this operation over the potentialfunction in terms of Cartesian coordinates. A second-order approximation of this procedure is used tomathematically prove the small angle approximation. Complex functions are represented with an alternateprocedure named for
Performing this operation on the Riemann zeta function yields the Stieltjes constants. For a staticcharge distribution, the multipole moments can be found by performing this operation over the potentialfunction in terms of Cartesian coordinates. A second-order approximation of this procedure is used tomathematically prove the small angle approximation. Complex functions are represented with an alternateprocedure named for Laurent. The term obtained from the n+1 iteration of this procedure is used to find theR sub n of x, or its remainder. When centered at zero, the Maclaurin series is obtained. For 10 points, namethis way to use a function's derivatives to represent it as an infinite sum of terms.
Performing this operation on the Riemann zeta function yields the Stieltjes constants.
Taylor expansion [or Taylor series]