Tetration (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Tetration" in English language version.

refsWebsite

Global rank English rank

9doi.org

2^nd place

5semanticscholar.org

11^th place

8^th place

3web.archive.org

1^st place

3arxiv.org

69^th place

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2jstor.org

26^th place

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2ams.org

451^st place

277^th place

1jhu.edu

699^th place

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1fairfield.edu

low place

1wolfram.com

513^th place

537^th place

1jsoftware.com

low place

1polytope.net

low place

1github.com

383^rd place

320^th place

1blogoverflow.com

low place

1dartmouth.edu

2,242^nd place

1,513^th place

1mpmueller.net

low place

1astate.edu

low place

1uwo.ca

5,491^st place

3,397^th place

1psu.edu

207^th place

136^th place

1depaul.edu

9,635^th place

6,990^th place

1scientificamerican.com

896^th place

674^th place

ams.org

mathscinet.ams.org

J. F. MacDonnell (1989). "Somecritical points of the hyperpower function $x^{x^{\dots }}$ ". International Journal of Mathematical Education. 20 (2): 297–305. doi:10.1080/0020739890200210. MR 0994348.

ams.org

Kouznetsov, D. (July 2009). "Solution of $F(z+1)=\exp(F(z))$ in complex $z$ -plane" (PDF). Mathematics of Computation. 78 (267): 1647–1670. doi:10.1090/S0025-5718-09-02188-7.

arxiv.org

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. arXiv:1809.07369. doi:10.1007/BF02124750. S2CID 29028411.
Cheng, Chuangxun; Dietel, Brian; Herblot, Mathilde; Huang, Jingjing; Krieger, Holly; Marques, Diego; Mason, Jonathan; Mereb, Martin; Wilson, S. Robert (2009). "Some consequences of Schanuel's conjecture". Journal of Number Theory. 129 (6): 1464–1467. arXiv:0804.3550. doi:10.1016/j.jnt.2008.10.018.
Jacob Fox, A new proof of the graph removal lemma, arXiv preprint (2010). arXiv:1006.1300 [math.CO]

astate.edu

myweb.astate.edu

Paulsen, W.; Cowgill, S. (March 2017). "Solving $F(z+1)=b^{F(z)}$ in the complex plane" (PDF). Advances in Computational Mathematics. 43: 1–22. doi:10.1007/s10444-017-9524-1. S2CID 9402035.

blogoverflow.com

math.blogoverflow.com

"Climbing the ladder of hyper operators: tetration". math.blogoverflow.com. Stack Exchange Mathematics Blog. Retrieved 2019-07-25.

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

R. L. Goodstein (1947). "Transfinite ordinals in recursive number theory". Journal of Symbolic Logic. 12 (4): 123–129. doi:10.2307/2266486. JSTOR 2266486. S2CID 1318943.
N. Bromer (1987). "Superexponentiation". Mathematics Magazine. 60 (3): 169–174. doi:10.1080/0025570X.1987.11977296. JSTOR 2689566.
J. F. MacDonnell (1989). "Somecritical points of the hyperpower function $x^{x^{\dots }}$ ". International Journal of Mathematical Education. 20 (2): 297–305. doi:10.1080/0020739890200210. MR 0994348.
Hooshmand, M. H. (2006). "Ultra power and ultra exponential functions". Integral Transforms and Special Functions. 17 (8): 549–558. doi:10.1080/10652460500422247. S2CID 120431576.
Paulsen, W.; Cowgill, S. (March 2017). "Solving $F(z+1)=b^{F(z)}$ in the complex plane" (PDF). Advances in Computational Mathematics. 43: 1–22. doi:10.1007/s10444-017-9524-1. S2CID 9402035.
Kouznetsov, D. (July 2009). "Solution of $F(z+1)=\exp(F(z))$ in complex $z$ -plane" (PDF). Mathematics of Computation. 78 (267): 1647–1670. doi:10.1090/S0025-5718-09-02188-7.
Paulsen, W. (June 2018). "Tetration for complex bases". Advances in Computational Mathematics. 45: 243–267. doi:10.1007/s10444-018-9615-7. S2CID 67866004.
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. arXiv:1809.07369. doi:10.1007/BF02124750. S2CID 29028411.
Cheng, Chuangxun; Dietel, Brian; Herblot, Mathilde; Huang, Jingjing; Krieger, Holly; Marques, Diego; Mason, Jonathan; Mereb, Martin; Wilson, S. Robert (2009). "Some consequences of Schanuel's conjecture". Journal of Number Theory. 129 (6): 1464–1467. arXiv:0804.3550. doi:10.1016/j.jnt.2008.10.018.

fairfield.edu

faculty.fairfield.edu

J. F. MacDonnell (1989). "Somecritical points of the hyperpower function $x^{x^{\dots }}$ ". International Journal of Mathematical Education. 20 (2): 297–305. doi:10.1080/0020739890200210. MR 0994348.

github.com

DiModica, Thomas. Tetration Values. Retrieved 15 October 2023.

jhu.edu

skysrv.pha.jhu.edu

Neyrinck, Mark. An Investigation of Arithmetic Operations. Retrieved 9 January 2019.

jsoftware.com

"Power Verb". J Vocabulary. J Software. Retrieved 2011-10-28.

jstor.org

R. L. Goodstein (1947). "Transfinite ordinals in recursive number theory". Journal of Symbolic Logic. 12 (4): 123–129. doi:10.2307/2266486. JSTOR 2266486. S2CID 1318943.
N. Bromer (1987). "Superexponentiation". Mathematics Magazine. 60 (3): 169–174. doi:10.1080/0025570X.1987.11977296. JSTOR 2689566.

mpmueller.net

Müller, M. "Reihenalgebra: What comes beyond exponentiation?" (PDF). Archived from the original (PDF) on 2013-12-02. Retrieved 2018-12-12.

polytope.net

"Spaces". Retrieved 2022-02-17.

psu.edu

citeseerx.ist.psu.edu

Krishnam, R. (2004), "Efficient Self-Organization Of Large Wireless Sensor Networks" – Dissertation, BOSTON UNIVERSITY, COLLEGE OF ENGINEERING. pp. 37–40

scientificamerican.com

Bischoff, Manon (2024-01-24). "A Wild Claim about the Powers of Pi Creates a Transcendental Mystery". Scientific American. Archived from the original on 2024-04-24. Retrieved 2024-04-23.

semanticscholar.org

api.semanticscholar.org

R. L. Goodstein (1947). "Transfinite ordinals in recursive number theory". Journal of Symbolic Logic. 12 (4): 123–129. doi:10.2307/2266486. JSTOR 2266486. S2CID 1318943.
Hooshmand, M. H. (2006). "Ultra power and ultra exponential functions". Integral Transforms and Special Functions. 17 (8): 549–558. doi:10.1080/10652460500422247. S2CID 120431576.
Paulsen, W.; Cowgill, S. (March 2017). "Solving $F(z+1)=b^{F(z)}$ in the complex plane" (PDF). Advances in Computational Mathematics. 43: 1–22. doi:10.1007/s10444-017-9524-1. S2CID 9402035.
Paulsen, W. (June 2018). "Tetration for complex bases". Advances in Computational Mathematics. 45: 243–267. doi:10.1007/s10444-018-9615-7. S2CID 67866004.
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. arXiv:1809.07369. doi:10.1007/BF02124750. S2CID 29028411.

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. arXiv:1809.07369. doi:10.1007/BF02124750. S2CID 29028411.

web.archive.org

Müller, M. "Reihenalgebra: What comes beyond exponentiation?" (PDF). Archived from the original (PDF) on 2013-12-02. Retrieved 2018-12-12.
Andrew Robbins. Solving for the Analytic Piecewise Extension of Tetration and the Super-logarithm. The extensions are found in part two of the paper, "Beginning of Results".
Bischoff, Manon (2024-01-24). "A Wild Claim about the Powers of Pi Creates a Transcendental Mystery". Scientific American. Archived from the original on 2024-04-24. Retrieved 2024-04-23.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Power Tower". MathWorld.