A Collection of Problems on Complex Analysis |
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A₁ algebraic branch points analytic function angle boundary contours branch points C₁ centre circles of Apollonius complex potential conformal mapping Construct the Riemann continuous convergence coordinate origin corresponding cosh curves defined domain bounded domain G doublet doubly connected domain equal equation equipotential lines essential singularity exterior finite number flow formula function f(z given Green's function half-strip harmonic function harmonic measure HINT infinite k₁ linear transformations logarithmic branch points Map the upper natural number neighbourhood parameters plane with cuts poles polygon problem Prove the following r₁ radius radius of convergence real axis real number rectangle respect Riemann surface ring segment semicircle single-valued straight line stream lines strip theorem unit circle upper half-plane velocity vertices vortex source z-plane zero Σπί ди дп