dynamics of a certain sequence of powers
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ID: 223518
2000
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Abstract
For any nonzero complex number z we define a sequence
a1(z)=z, a2(z)=za1(z),…,an+1(z)=zan(z),
n∈ℕ. We attempt to describe the set of
these z for which the sequence
{an(z)} is convergent. While it is almost
impossible to characterize this convergence set in the complex
plane 𝒞, we achieved it for positive reals.
We also discussed some connection to the Euler's functional
equation.
| Reference Key |
sznajder2000internationaldynamics
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|---|---|
| Authors | ;Roman Sznajder;Kanchan Basnyat |
| Journal | structural engineering and mechanics |
| Year | 2000 |
| DOI |
10.1155/S0161171200003136
|
| URL | |
| Keywords |
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