Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 7D / d / Solution

Set $a=0$, $b=1$, $c=\infty$, $\alpha =\beta =0$. Comparing the $w^{\prime }$ coefficient givesand comparison of the $w$ coefficient gives the exponents $A,B$ at infinity. Hence

Solved by gpt-5.6-sol high.