query: A problem in functions of a complex variable
positive_passages.docid: 96592
positive_passages.text: Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
negative_passages.docid: 43440
negative_passages.text: Complex Analysis: Showing analytic function is zero
negative_passages.docid: 29276
negative_passages.text: technique of proving continuity complex function
negative_passages.docid: 138809
negative_passages.text: Consequences of a fixed point of a bounded, complex analytic function
negative_passages.docid: 152701
negative_passages.text: A question on periodicity of complex functions
negative_passages.docid: 157328
negative_passages.text: A complex analysis problem to prove an inequality
negative_passages.docid: 122181
negative_passages.text: Application of Complex Numbers
negative_passages.docid: 82367
negative_passages.text: Prove that a holomorphic function with postive real part is constant
negative_passages.docid: 42988
negative_passages.text: Complex polynomial and the unit circle
negative_passages.docid: 149634
negative_passages.text: $ 2|f^{'}(0)| = \sup_{z, w \in D} |f(z)-f(w)|$
negative_passages.docid: 103374
negative_passages.text: A Problem on Improper Integrals
negative_passages.docid: 79822
negative_passages.text: Problems with partial derivatives.
negative_passages.docid: 63427
negative_passages.text: A Problem with Residue Theorem
negative_passages.docid: 36444
negative_passages.text: Bound of a complex-valued function
negative_passages.docid: 18611
negative_passages.text: An analytic function with a simple pole
negative_passages.docid: 148474
negative_passages.text: on the boundary of analytic functions
negative_passages.docid: 4084
negative_passages.text: Does there exist a holomorphic function with the following property?