Dynamics of a certain sequence of powers

Autor: Roman Sznajder, Kanchan Basnyat
Jazyk: angličtina
Rok vydání: 2000
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 24, Iss 4, Pp 283-288 (2000)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171200003136
Popis: 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.
Databáze: Directory of Open Access Journals
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