Frobenius series of $(\xi u')'+(\frac12E\xi+\alpha-\frac{m^2}{4\xi}-\frac14F\xi^2)u=0$ at $\xi=0$

Given the differential equation

\[ \frac { d } { d \xi } \left( \xi \frac { d u } { d \xi } \right) + \left( \frac { 1 } { 2 } E \xi + \alpha - \frac { m ^ { 2 } } { 4 \xi } - \frac { 1 } { 4 } F \xi ^ { 2 } \right) u = 0\tag{29} \]

Find the first three terms of a series solution around \(\xi = 0\) by using the largest solution of the indicial equation.