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Generation theory on the unit disk [PDF]

open access: possible, 2001
For physical, chemical, and biological applications it is sometimes preferable to study a great variety of iterative processes, including the processes of continuous time. In spite of their simplicity these processes have been applicable in many fields, involving mathematical areas such as geometry, theory of stochastic branching processes, operator ...
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Chebyshev Approximation on the Unit Disk

1983
We consider the problem of rational Chebyshev approximation of an analytic function on the unit disk, and survey known results related to nearly-circular error curves and to the Caratheodory-Fejer (CF) method for near-best approximation. The real CF (or Chebyshev-CF) method for approximation of a continuous real function on an interval is also ...
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Evasion Problem for the Unit Disk

Journal of Automation and Information Sciences, 2001
Gulamzhon M. Muminov, Numan Yu. Satimov
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Harmonic Functions in the Unit Disk

The American Mathematical Monthly, 2002
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