Ramanujan and the Julia Set of the Iterated Exponential Map

Akhlesh Lakhtakia; Mercedes N. Lakhtakia

doi:10.1515/zna-1988-0711

Ramanujan and the Julia Set of the Iterated Exponential Map

Akhlesh Lakhtakia, Mercedes N. Lakhtakia

Research output: Contribution to journal › Article › peer-review

Abstract

The Julia set of Ramanujan's iterated exponential map, F_r+1 (z) = exp {F_r(z)} —1, is investigated for positive integral r. Connection with Devaney's work on the map z_r+1 = λ exp [z_r] is also made.

Original language	English (US)
Pages (from-to)	681-683
Number of pages	3
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	43
Issue number	7
DOIs	https://doi.org/10.1515/zna-1988-0711
State	Published - Jul 1 1988

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Physical and Theoretical Chemistry

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title = "Ramanujan and the Julia Set of the Iterated Exponential Map",

abstract = "The Julia set of Ramanujan's iterated exponential map, Fr+1 (z) = exp {Fr(z)} —1, is investigated for positive integral r. Connection with Devaney's work on the map zr+1 = λ exp [zr] is also made.",

author = "Akhlesh Lakhtakia and Lakhtakia, {Mercedes N.}",

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AB - The Julia set of Ramanujan's iterated exponential map, Fr+1 (z) = exp {Fr(z)} —1, is investigated for positive integral r. Connection with Devaney's work on the map zr+1 = λ exp [zr] is also made.

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Ramanujan and the Julia Set of the Iterated Exponential Map

Abstract

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