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Holomorphic extension of the logistic sequence

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Publication:1758993
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DOI10.3103/S0027134910020049zbMath1250.30024MaRDI QIDQ1758993

D. Yu. Kouznetsov

Publication date: 19 November 2012

Published in: Moscow University Physics Bulletin (Search for Journal in Brave)


zbMATH Keywords

holomorphic extensionsuperfunctionAbel functionlogistic operatorlogistic sequencePomeau-Manneville scenario


Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)


Related Items (1)

Computation of the two regular super-exponentials to base exp(1/e)




Cites Work

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  • SNA's in the quasi-periodic quadratic family
  • Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane
  • Exponentials Reiterated




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