query: Function vanishes identically on the unit disc
positive_passages.docid: 148474
positive_passages.text: on the boundary of analytic functions
negative_passages.docid: 57938
negative_passages.text: When do two functions become equal?
negative_passages.docid: 155244
negative_passages.text: Holomorphic self map on the open unit disc
negative_passages.docid: 112739
negative_passages.text: The derivative of a holomorphic function on the boundary of the unit circle
negative_passages.docid: 35982
negative_passages.text: A function and its Fourier transform cannot both be compactly supported
negative_passages.docid: 8072
negative_passages.text: Why Is a Function Defined As Having Only One Y-Value Output?
negative_passages.docid: 110395
negative_passages.text: Integrable function $f$ on $\mathbb R$ does not imply that limit $f(x)$ is zero
negative_passages.docid: 144521
negative_passages.text: Why does Möbius transformation $f(z)$ map the unit disk $|z|<1$ to itself?
negative_passages.docid: 12966
negative_passages.text: Riemann Sums proving function identically zero
negative_passages.docid: 57816
negative_passages.text: $(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
negative_passages.docid: 140936
negative_passages.text: If two integrals are equal, then the functions are the same
negative_passages.docid: 63731
negative_passages.text: Can we characterize the Möbius transformations that maps the unit disk into itself?
negative_passages.docid: 75950
negative_passages.text: $C^1$ function on the ball hits $0$
negative_passages.docid: 132657
negative_passages.text: Function $ f $ defined on unit disk $ D $ has real values on $ \partial D $, why is $ f $ real valued?
negative_passages.docid: 87743
negative_passages.text: Is a function whose derivative vanishes at rationals constant?
negative_passages.docid: 150689
negative_passages.text: All the zeroes of $p(z)$ lie inside the unit disk
negative_passages.docid: 127169
negative_passages.text: Show that the zeros of $\sum_{k=1}^n kz^{k-1}$ are inside the unit disc