Complex Variables with Physical Applications |
Contents
COMPLEX NUMBERS | 1 |
15 | 24 |
FUNCTIONS OF A COMPLEX VARIABLE | 33 |
Copyright | |
13 other sections not shown
Common terms and phrases
absolutely convergent analytic continuation analytic element analytic function b₁ b₂ boundary bounded branch point C₁ C₂ Cauchy-Riemann equations centered closed curve complex number complex potential cosh D₁ D₂ defined derivative direct analytic continuation disc f₁ f₂ f₂(z function f(z fundamental regions harmonic harmonic conjugate Hence infinity inside integral interior isolated singularity k₁ k₂ lim f(z limit point maps neighborhood nth root P₂ pole polygon positive integer positive number positively-sensed Prob PROBLEM Prove radius real number removable singularity Riemann surface satisfying sequence Show shown in Fig simple polygon sinē single-valued singularity sinh Solution streamlines subset T₁ T₂ theorem transformation upper half upper half-plane vanishes vector w₁ w₂ x-axis z-plane z₁ z₂ zero Σπί ди ду