Lectures on Meromorphic Functions |
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2TT log a₁ a₂ b₁ bounded set characteristic function circle constant convex function Corollary defined dx dy equality is possible equation f(z f(re f(reš f(rei finite number follows function f(z gives Hence hypothesis inequality Jensen's formula kn+1 left hand side log E(u,q log f log f(z log M(r log T(R,f mean type meromorphic functions minimal type number of roots number of zeros O(log order and type Picard's theorem plane pole of order poles of f(z polynomial proof of theorem q log+ r₁ rational rational function residue theorem result Riemann sphere right hand side roots of f(z Suppose f(z tends to infinity tends to zero theorem 13 theorem 9 unit circle univalent zeros and poles zeros of f(z zeros or poles аф