Studies on complex dynamics of transcendental entire functions

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From the view point of the difference between dynamics of rational functions and those of transcendental entire functions, I mainly studied complex dynamics of transcendental entire functions. Singular values play important roles in studying complex dynamics. They are critical values or asymptotic values and the latter appear in the only case of transcendental entire functions. I investigated families of entire functions with two singular values and obtained some results on hyperbolic components of the parameter spaces. Furthermore, I showed a relationship between unbounded Siegel disks and asymptotic values, if transcendental entire functions have Siegel disks.