Ultra power of higher orders and ultra exponential functional sequences

DOI10.1080/10236198.2017.1307350zbMath1384.33009OpenAlexW2598835071WikidataQ115550428 ScholiaQ115550428MaRDI QIDQ5374282

M. H. Hooshmand

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1307350

zbMATH Keywords

functional equationuniqueness theoremtetrationultra powerinfra logarithm functionultra exponential function

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Other functions coming from differential, difference and integral equations (33E30) Elementary classical functions (33B99)

Cites Work

• Functions of ultraexponential and infralogarithm types and general solution of the Abel functional equation
• Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane
• Infra logarithm and ultra power part functions
• Ultra power and ultra exponential functions
• Transfinite ordinals in recursive number theory
• Convergence of infinite exponentials

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