Performing this operation on the Riemann zeta function yields the Stieltjes constants.
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]