on some generalisations of brown s conjecture
Copyright policy )on some generalisations of brown s conjecture
Summary: Let \(P\) be a complex polynomial of the form \(P(z)=z\prod_{k=1}^{n-1}(z-z_k)\), where \(|z_k|\geq 1\), \(1\leq k\leq n\) then \(P'(z)\neq 0\). If \(|z|<\frac 1n\). In this paper, we present some interesting generalisations of this result.
- University of Kashmir India
Sendov's conjecture, critical points, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), coincidence theorem of Walsh, Polynomials in real and complex fields: location of zeros (algebraic theorems)
Sendov's conjecture, critical points, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), coincidence theorem of Walsh, Polynomials in real and complex fields: location of zeros (algebraic theorems)
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