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File:2016ruble1.jpg ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838(2,764 × 684 (414 KB)) - 08:27, 1 December 2018File:Ackerplot.jpg ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ((2,800 × 4,477 (726 KB)) - 08:28, 1 December 2018File:Ackerplot400.jpg ...vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 ((3,355 × 4,477 (805 KB)) - 08:29, 1 December 2018File:Analuxp01t400.jpg ...this figure, $u$ and $v$ are [[logamplitude]] and [[phase]] of the plotted functions; not the real and imaginary parts, as usually. ...power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8), 549-558 (2006)(2,083 × 3,011 (1.67 MB)) - 08:29, 1 December 2018File:Analuxp01u400.jpg ...power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8), 549-558 (2006) Parameter $r$ provides the match of the two asymptotics. It is fundamental mathematical constant;(2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018File:Nembrant.jpg ...mydns.jp/PAPERS/2014susin.pdf D.Kouznetsov. Super sin. Far East Jourmal of Mathematical Science, v.85, No.2, 2014, pages 219-238. ...onstruction of [[exotic iterate]]s; they can be constructed for asymmetric functions too.(361 × 871 (65 KB)) - 08:44, 1 December 2018File:Ruble85210a.png ...the approximations: Fitting of rouble with 3-parametric functions. Applied Mathematical Sciences, Vol. 9, 2015, no. 17, 831 - 838(1,519 × 689 (217 KB)) - 08:50, 1 December 2018File:Sutralomap.jpg with two its approximations with entire functions, ...013.pdf D.Kouznetsov. Entire Function with Logarithmic Asymptotic. Applied Mathematical Sciences, Vol. 7, 2013, no. 131, 6527 - 6541(2,533 × 1,254 (1.26 MB)) - 08:53, 1 December 2018File:Vladi07.jpg Maps of agreement of approximations of natural [[tetration]] with elementary functions [[fima]] and [[maclo]], used in the implementation [[fsexp.cin]]. D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(741 × 383 (100 KB)) - 08:56, 1 December 2018File:Vladi08.jpg Agreement of approximations of tetration by elementary functions with the original representation through the Cauchi integral is shown in th D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.(787 × 375 (117 KB)) - 08:56, 1 December 2018