Lecture Course on Introduction to Complex Variable Theory |
Common terms and phrases
A₂ absolutely convergent analytic function analytical continuation bounded closed region canonical product circle Clearly conformally congruent constant converges uniformly cosec degree not exceeding elliptic function essential singularity exponent of convergence finite number finite order function of order half-plane Hence infinite product integral function interior K+ik Lemma Let f(z limiting point log F'(w log F(0 log M(r mapped modulus neighbourhood number of zeroes pair of primitive parallelogram point at infinity polygon polynomial of degree positive number primitive periods rational function real axis real numbers regular and non-zero residue sequence Similarly simple poles simple zeros sufficiently large tends to zero transformation uniformly and absolutely uniformly convergent vanish vertices W₁ W₂ Weierstrass's Weierstrass's Elliptic Function zeros of f(z дз کے