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File:B271a.png D.Kouznetsov. Superexponential as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issu(1,609 × 1,417 (506 KB)) - 08:30, 1 December 2018File:B271t.png D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(1,609 × 1,417 (791 KB)) - 08:30, 1 December 2018File:Expc.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(941 × 852 (48 KB)) - 18:39, 11 July 2013File:ExpIte4T.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(1,673 × 1,673 (901 KB)) - 08:35, 1 December 2018File:ExpQ2plotT.png Any of these fixed points can be used to construct a [[superexponential]] to base $\sqrt{2}~$(2,512 × 1,744 (175 KB)) - 08:35, 1 December 2018File:SqrtExpZ.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(842 × 953 (83 KB)) - 11:56, 21 June 2013File:Sqrt2figf45bT.png [[Complex map]] of the primary expansion of the growing [[superexponential]] to base $b\!=\!\sqrt{2}$ built up at the [[fixed point]] $L\!=\!4$.(2,180 × 2,159 (1.01 MB)) - 08:52, 1 December 2018File:Exp1mapT200.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,281 × 1,179 (1.14 MB)) - 12:37, 28 July 2013File:Exp09mapT200.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,281 × 1,179 (1.23 MB)) - 12:28, 28 July 2013File:Exm01mapT200.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,281 × 1,179 (834 KB)) - 12:52, 28 July 2013File:Exm05mapT200.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,281 × 1,179 (705 KB)) - 12:54, 28 July 2013File:Exm09mapT200.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,281 × 1,179 (560 KB)) - 12:56, 28 July 2013File:Exm1mapT200.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,281 × 1,179 (544 KB)) - 12:47, 28 July 2013File:Ack4b600.jpg D.Kouznetsov. Superexponential as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issu(5,130 × 1,760 (1.53 MB)) - 11:59, 21 July 2020File:Ack4bFragment.jpg D.Kouznetsov. Superexponential as special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issu(3,457 × 1,776 (1.62 MB)) - 08:28, 1 December 2018File:Ackerplot.jpg http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,800 × 4,477 (726 KB)) - 08:28, 1 December 2018File:Ackerplot400.jpg http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(3,355 × 4,477 (805 KB)) - 08:29, 1 December 2018File:Analuxp01u400.jpg D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2,(2,083 × 3,011 (1.72 MB)) - 08:29, 1 December 2018File:E1eiterT.jpg The iterates are expressed through the growing superexponential $F_3$ whih is specific solution of the [[transfer equation]](2,166 × 2,179 (1.03 MB)) - 08:34, 1 December 2018File:E1eplot8.png Superexponential to base $b$ is solution $F$ of the [[transfer equation]](2,577 × 1,355 (226 KB)) - 08:34, 1 December 2018