テトレーション (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "テトレーション" in Japanese language version.

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citizendium.org

en.citizendium.org

テトレーションおよびその導関数を計算・描画するMathematicaコード

colgate.edu

math.colgate.edu

Daniel B. Shapiro and S. David Shapiro (2007). “Iterated Exponents in Number Theory” (pdf). Electronic Journal of Combinatorial Number Theory 7 (A23) 2021年7月30日閲覧。.

dartmouth.edu

math.dartmouth.edu

Euler, L., "De serie Lambertina Plurimisque eius insignibus proprietatibus." Acta Acad. Scient. Petropol. 2, 29–51, 1783. Reprinted in Euler, L. Opera Omnia, Series Prima, Vol. 6: Commentationes Algebraicae. Leipzig, Germany: Teubner, pp. 350–369, 1921. (facsimile)

depaul.edu

condor.depaul.edu

Marshall, Ash J., and Tan, Yiren, "A rational number of the form a^a with a irrational", Mathematical Gazette 96, March 2012, pp. 106-109.

doi.org

Goodstein, R. L. (1947). “Transfinite Ordinals in Recursive Number Theory”. The Journal of Symbolic Logic 12 (4): 123–129. doi:10.2307/2266486. ISSN 0022-4812. https://www.jstor.org/stable/2266486.
Knoebel, R. Arthur (1981). “Exponentials Reiterated”. The American Mathematical Monthly 88 (4): 235–252. doi:10.2307/2320546. ISSN 0002-9890. https://www.jstor.org/stable/2320546.
Hooshmand, M. H. (2006-08-01). “Ultra power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8): 549–558. doi:10.1080/10652460500422247. ISSN 1065-2469.
Edward Drake Roe, Jr. (1898). “68”. The American Mathematical Monthly 5: 110. doi:10.2307/2971013. http://www.jstor.org/stable/2971013.
I. N. Galidakis, (2004). “On an Application of Lambert’s W Function to Infinite Exponentials”. Complex Variables Th. Appl. 49: 759–780. doi:10.1080/02781070412331298796. ISSN 0278-1077.
M. H. Hooshmand, (2006). “Ultra power and ultra exponential functions”. Integral Transforms and Special Functions（英語版） 17 (8): 549–558. doi:10.1080/10652460500422247.
W. Paulsen and S. Cowgill (March 2017). “Solving $F(z+1)=b^{F(z)}$ in the complex plane”. Advances in Computational Mathematics: 1-22. doi:10.1007/s10444-017-9524-1.
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. (1996). “On the Lambert W function” (PostScript). Advances in Computational Mathematics 5: 333. doi:10.1007/BF02124750.

googleusercontent.com

webcache.googleusercontent.com

BOSTON UNIVERSITY COLLEGE OF ENGINEERING – EFFICIENT SELF-ORGANIZATION OF LARGE WIRELESS SENSOR NETWORKS

jsoftware.com

“Power Verb”. J Vocabulary. J Software. 28 October 2011閲覧。

jstor.org

Goodstein, R. L. (1947). “Transfinite Ordinals in Recursive Number Theory”. The Journal of Symbolic Logic 12 (4): 123–129. doi:10.2307/2266486. ISSN 0022-4812. https://www.jstor.org/stable/2266486.
Knoebel, R. Arthur (1981). “Exponentials Reiterated”. The American Mathematical Monthly 88 (4): 235–252. doi:10.2307/2320546. ISSN 0002-9890. https://www.jstor.org/stable/2320546.
Edward Drake Roe, Jr. (1898). “68”. The American Mathematical Monthly 5: 110. doi:10.2307/2971013. http://www.jstor.org/stable/2971013.

oeis.org

Jekusiel Ginsburg (1945). “Iterated Exponentials” (pdf). Scripa Mathematica 11: 340–353. https://oeis.org/A000405/a000405.pdf 2021年7月30日閲覧。.

polytope.net

“Exploding Array Function”. Jonathan Bowers. 2021年7月30日閲覧。

springer.com

link.springer.com

W. Paulsen and S. Cowgill (March 2017). “Solving $F(z+1)=b^{F(z)}$ in the complex plane”. Advances in Computational Mathematics: 1-22. doi:10.1007/s10444-017-9524-1.

usm.edu

math.usm.edu

I. N. Galidakis, (2004). “On an Application of Lambert’s W Function to Infinite Exponentials”. Complex Variables Th. Appl. 49: 759–780. doi:10.1080/02781070412331298796. ISSN 0278-1077.

uwo.ca

apmaths.uwo.ca

Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. (1996). “On the Lambert W function” (PostScript). Advances in Computational Mathematics 5: 333. doi:10.1007/BF02124750.

virtualcomposer2000.com

ioannis.virtualcomposer2000.com

Ioannis Galidakis. On Extending hyper4 and Knuth’s Up-arrow Notation to the Reals^{[リンク切れ]}

web.archive.org

Andrew Robbins. Solving for the Analytic Piecewise Extension of Tetration and the Super-logarithm

wikipedia.org

en.wikipedia.org

M. H. Hooshmand, (2006). “Ultra power and ultra exponential functions”. Integral Transforms and Special Functions（英語版） 17 (8): 549–558. doi:10.1080/10652460500422247.

worldcat.org

search.worldcat.org

Goodstein, R. L. (1947). “Transfinite Ordinals in Recursive Number Theory”. The Journal of Symbolic Logic 12 (4): 123–129. doi:10.2307/2266486. ISSN 0022-4812. https://www.jstor.org/stable/2266486.
Knoebel, R. Arthur (1981). “Exponentials Reiterated”. The American Mathematical Monthly 88 (4): 235–252. doi:10.2307/2320546. ISSN 0002-9890. https://www.jstor.org/stable/2320546.
Hooshmand, M. H. (2006-08-01). “Ultra power and ultra exponential functions”. Integral Transforms and Special Functions 17 (8): 549–558. doi:10.1080/10652460500422247. ISSN 1065-2469.
I. N. Galidakis, (2004). “On an Application of Lambert’s W Function to Infinite Exponentials”. Complex Variables Th. Appl. 49: 759–780. doi:10.1080/02781070412331298796. ISSN 0278-1077.