Geodesic
Tetrational as special function
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 2, pp. 31-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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Holomorphic tetrational (superexponential) to the base $e$ and its inverse function (arctetrational) are approximated with elementary functions. 
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D. Yu. Kuznetsov. Tetrational as special function. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 2, pp. 31-45. http://geodesic.mathdoc.fr/item/VMJ_2010_12_2_a3/

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[13] Kod dlya ris. 4: http://en.citizendium.org/wiki/TetrationPolynomial25power.jpg/code

[14] Kod dlya ris. 5: http://en.citizendium.org/wiki/TetrationApproLP100.jpg/code

[15] Kod dlya ris. 6: http://en.citizendium.org/wiki/TetrationTailorExpansion3ipower25.jpg/code

[16] Kod dlya ris. 9: http://en.citizendium.org/wiki/TetrationDerivativesReal.jpg/code

[17] Kod dlya ris. 10: http://en.citizendium.org/wiki/SLOGappro50.jpg/code