dynamics of a certain sequence of powers

Tiklamalar: 223
ID: 223518
2000
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Ozet
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.
Referans Anahtari
sznajder2000internationaldynamics Kullanarak makale yazarken otomatik alinti icin bu anahtari kullanin SciMatic Makale Yoneticisi veya Tez Yoneticisi
Yazarlar ;Roman Sznajder;Kanchan Basnyat
Dergi structural engineering and mechanics
Yil 2000
DOI
10.1155/S0161171200003136
URL
http://dx.doi.org/10.1155/S0161171200003136
Anahtar Kelimeler
mathematics dynamics convergence

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