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- [[Elementary function]] is either one or the first three [[Ackermann function]]s, ...ion of the first three [[Ackermann function]]s functions and their inverse functions.3 KB (496 words) - 18:45, 30 July 2019
- ...xpressed as elementary functions. For \(a\!=\!2\), these functions are who functions are shown in Fig.1. [[Elementary function]],1 KB (202 words) - 18:48, 30 July 2019
- ...there exist the explicit representations for these functions through the [[elementary function]]s: ...ArcShoka]] and [[Shoka function]]s can be expressed in terms of elementary functions:4 KB (545 words) - 18:26, 30 July 2019
- [[AdPow]] can be expressed as elementary function, For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.12 KB (271 words) - 18:43, 30 July 2019
- [[AuPow]] can be expressed as elementary function, For \(a\!=\!2\), both functions [[AdPow]] and [[AuPow]] are shown in Fig.12 KB (284 words) - 18:43, 30 July 2019
- ==[[Sazae-san functions]] and related constants== where cosc=[[Cohc]] is elementary function ;4 KB (581 words) - 18:25, 30 July 2019
- ...lation of the function to other elementary functions or with other special functions, defined earlier; even if the relation is asymptotic or approximate. ...valent of one dollar''' would be suitable in their descriptions as special functions.7 KB (991 words) - 18:48, 30 July 2019
- [[File:SazaeconT.png|600px|right|thumb|Graphics of functions [[cohc]] and [[cosc]] ]] ...ma and singularities of functions [[cosc]] and [[coshc]] and their inverse functions:4 KB (495 words) - 18:47, 30 July 2019
- ArcCos is considered as [[elementary function]] ==Relation to other functions==5 KB (758 words) - 09:09, 16 August 2025
- ==Various inverse functions== For efficient comparison of various [[superfunction]]s \(F\) of the transfer functions \(T\) of realistic physical systems, the extension to the complex plane see3 KB (441 words) - 18:26, 30 July 2019
- ...ames of routines for elementary functions coincide with the names of these functions.1 KB (173 words) - 19:31, 30 July 2019
- The two real-holomorphic superpower functions are considered here: For \(a\!=\!2\), the explicit plots of these two functions are shown in figure 1 at right.6 KB (903 words) - 18:44, 30 July 2019
- https://www.amazon.co.jp/Superfunctions-Non-integer-holomorphic-functions-superfunctions/dp/6202672862 Dmitrii Kouznetsov. [[Superfunctions]]: Non-integer iterates of holomorphic functions. [[Tetration]] and other superfunctions. Formulas,algorithms,tables,graphic4 KB (621 words) - 14:01, 16 August 2025
- [[Sech]] is short name for elementary function, Gradstyein, Ryzhik, Hyperbolic Functions,3 KB (396 words) - 10:11, 4 April 2023
- '''Cosc'''\(=\)cosc is [[elementary function]] defined with ==Related functions==4 KB (649 words) - 18:26, 30 July 2019
- [[ArcLambertW]], called for simplicity '''zex''', is [[elementary function]] defined with Figure 3 looks pretty similar to the plots of iterates of other functions with fast growth along the real axis.4 KB (646 words) - 16:58, 4 May 2025
- The period \(P=2\pi\mathrm i / \ln(a)\) is the same for both these functions. Functions [[SuPow]] and [[SdPow]] are related with expression3 KB (405 words) - 18:43, 30 July 2019
- [[Exponential]] \(\exp\) is an [[elementary function]] that appears as solution of the differential equation Both the [[exponential]] and the [[logarithm]] are considered [[elementary function]]s.5 KB (799 words) - 22:51, 8 December 2025
- [[Asymmetric bell]] (or «Asymmetric bell function») is kind of functions usable for approximation of shapes of simple peaks, ...mation is sufficient fo work with some [[special function]] (preferably an elementary function) instead of complicated numerical solution or experimental data.3 KB (396 words) - 11:44, 15 August 2022
- Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188 For iteration of functions, the same notation is used also by [[Walter Bergweiler]]15 KB (2,245 words) - 16:43, 15 February 2026