Tetration (English Wikipedia)

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

refsWebsite

Global rank English rank

10doi.org

2^nd place

4semanticscholar.org

11^th place

8^th place

3web.archive.org

1^st place

3arxiv.org

69^th place

59^th place

2jstor.org

26^th place

20^th place

2oeis.org

742^nd place

538^th place

2ams.org

451^st place

277^th place

1jhu.edu

699^th place

479^th place

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 (Global: 451^st place; English: 277^th place)

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 (Global: 69^th place; English: 59^th place)

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 (Global: low place; English: low place)

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 (Global: low place; English: low place)

math.blogoverflow.com

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

dartmouth.edu (Global: 2,242^nd place; English: 1,513^th place)

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 (Global: 9,635^th place; English: 6,990^th place)

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 (Global: 2^nd place; English: 2^nd place)

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.
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.

dx.doi.org

Vey, Vincent (May 2025). "Holomorphic Extension of Tetration to Complex Bases and Heights via Schröder's Equation".

fairfield.edu (Global: low place; English: low place)

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 (Global: 383^rd place; English: 320^th place)

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

jhu.edu (Global: 699^th place; English: 479^th place)

skysrv.pha.jhu.edu

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

jsoftware.com (Global: low place; English: low place)

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

jstor.org (Global: 26^th place; English: 20^th place)

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 (Global: low place; English: low place)

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

oeis.org (Global: 742^nd place; English: 538^th place)

Sloane, N. J. A. (ed.). "Sequence A073230 (Decimal expansion of (1/e)^e)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
Sloane, N. J. A. (ed.). "Sequence A073229 (Decimal expansion of e^(1/e))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

polytope.net (Global: low place; English: low place)

"Spaces". Retrieved 2022-02-17.

psu.edu (Global: 207^th place; English: 136^th place)

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 (Global: 896^th place; English: 674^th place)

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 (Global: 11^th place; English: 8^th place)

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.
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 (Global: 5,491^st place; English: 3,397^th place)

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 (Global: 1^st place; English: 1^st place)

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 (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

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

Tetration (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

ams.org

arxiv.org (Global: 69th place; English: 59th place)

astate.edu (Global: low place; English: low place)

myweb.astate.edu

blogoverflow.com (Global: low place; English: low place)

math.blogoverflow.com

dartmouth.edu (Global: 2,242nd place; English: 1,513th place)

math.dartmouth.edu

depaul.edu (Global: 9,635th place; English: 6,990th place)

condor.depaul.edu

doi.org (Global: 2nd place; English: 2nd place)

doi.org

dx.doi.org

fairfield.edu (Global: low place; English: low place)

faculty.fairfield.edu

github.com (Global: 383rd place; English: 320th place)

jhu.edu (Global: 699th place; English: 479th place)

skysrv.pha.jhu.edu

jsoftware.com (Global: low place; English: low place)

jstor.org (Global: 26th place; English: 20th place)

mpmueller.net (Global: low place; English: low place)

oeis.org (Global: 742nd place; English: 538th place)

polytope.net (Global: low place; English: low place)

psu.edu (Global: 207th place; English: 136th place)

citeseerx.ist.psu.edu

scientificamerican.com (Global: 896th place; English: 674th place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

uwo.ca (Global: 5,491st place; English: 3,397th place)

apmaths.uwo.ca

web.archive.org (Global: 1st place; English: 1st place)

wolfram.com (Global: 513th place; English: 537th place)

mathworld.wolfram.com

ams.org (Global: 451^st place; English: 277^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

dartmouth.edu (Global: 2,242^nd place; English: 1,513^th place)

depaul.edu (Global: 9,635^th place; English: 6,990^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

github.com (Global: 383^rd place; English: 320^th place)

jhu.edu (Global: 699^th place; English: 479^th place)

jstor.org (Global: 26^th place; English: 20^th place)

oeis.org (Global: 742^nd place; English: 538^th place)

psu.edu (Global: 207^th place; English: 136^th place)

scientificamerican.com (Global: 896^th place; English: 674^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

uwo.ca (Global: 5,491^st place; English: 3,397^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wolfram.com (Global: 513^th place; English: 537^th place)