An algorithm for solving differential equations in terms of a specific type of one is called the Parker-Sochacki method. For an analytic function whose derivatives are all zero in some circular radius, one of these can be used to show that the function is explicitly zero within that radius. Laurent expanded on this to include negative degrees, and one is commonly used to prove Euler's formula. For
An algorithm for solving differential equations in terms of a specific type of one is called the Parker-Sochacki method. For an analytic function whose derivatives are all zero in some circular radius, one of these can be used to show that the function is explicitly zero within that radius. Laurent expanded on this to include negative degrees, and one is commonly used to prove Euler's formula. For 10 points, identify this expansion of a function in terms of its derivatives at a point, a type of which is the Maclaurin series.
An algorithm for solving differential equations in terms of a specific type of one is called the Parker-Sochacki method.
{Taylor} series