query: Is there a holomorphic and bijective function of the unit disc onto the complex plane?
positive_passages.docid: 154971
positive_passages.text: A holomorphic bijection from the open unit disc to the complex plane
negative_passages.docid: 125251
negative_passages.text: Show that a function from a Riemann Surface $g:Y\to\mathbb{C}$ is holomorphic iff its composition with a proper holomorphic map is holomorphic.
negative_passages.docid: 63446
negative_passages.text: The existence of analytical branch of the logarithm of a holomorphic function
negative_passages.docid: 14117
negative_passages.text: Holomorphic function has at most countably zeros
negative_passages.docid: 10389
negative_passages.text: Does there exist an holomorphic function such that $|f(z)|\geq \frac{1}{\sqrt{|z|}}$?
negative_passages.docid: 127436
negative_passages.text: Conformal Maps onto the Unit Disc in $\mathbb{C}$
negative_passages.docid: 62901
negative_passages.text: Bound for Analytic Function on Unit Disk
negative_passages.docid: 141115
negative_passages.text: $f$ be an analytic function defined on $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}$
negative_passages.docid: 4084
negative_passages.text: Does there exist a holomorphic function with the following property?
negative_passages.docid: 118192
negative_passages.text: Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
negative_passages.docid: 130679
negative_passages.text: Difference between Analytic and Holomorphic function
negative_passages.docid: 91878
negative_passages.text: Homeomorphism of the Disk
negative_passages.docid: 15797
negative_passages.text: Holomorphic function having finitely many zeros in the open unit disc
negative_passages.docid: 63731
negative_passages.text: Can we characterize the Möbius transformations that maps the unit disk into itself?
negative_passages.docid: 68255
negative_passages.text: Theorems in complex analysis.
negative_passages.docid: 125814
negative_passages.text: The function $f(z)=z+\frac{1}{z}$ maps $\Omega$ biholomorphically on the upper plane
negative_passages.docid: 108846
negative_passages.text: Estimate of analytic function in a unit disk