Berry Groisman
Further Complex Methods - Lent 2020
(Please, keep checking this page as it will be updated throughout the course. Material is examinable unless explicitly stated otherwise.)
E-handouts
E-1: Analytic Continuation by Taylor series: Natural Barrier (example).
Not examinable.
E-2: Lecture 16 supplement - General elliptic ODE (an example).
E-3: Lecture 17 supplement - Solving ODE by integral representaion: general method.
E-4: Lecture 17 - Solution of the Hermite equation by integral representation (additional worked example by Stephen Siklos).
E-5: Lecture 19 - Second-order ODE in the complex plane.
E-6: Lecture 20 supplement - Solutions of 2nd-order ODE near ordinary and regular singular points.
E-7: Lecture 22 supplement - Papperitz equation.
E-7: Lecture 24 supplement - Hypergeometric function written as a series.
E-8: Lecture 24 supplement - the second solution of the hypergeometric equation and solution at infinity.
E-9: Lecture 24 supplement - Legendre’s equation written as Papperitz equation (worked example by Stephen Siklos)
E-10: Lecture 24 supplement - brief discussion of Monodromy.
Example sheets
www.damtp.cam.ac.uk/user/examples/
email: bg268 (at) cam.ac.uk