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Dissertation

On Functions in the Speiser Class with One Tract

Let f be a transcendental entire map. A complex number w is called critical value of f if there exists a complex number z such that f'(z)=0 and f(z)=w. A complex number b is called an asymptotic value of f if there exists a curve \gamma with \gamma(t)\to\infty as t\to\infty but f(\gamma(t))\to b as...