Goodwin–Staton integral: Difference between revisions
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In mathematics the '''Goodwin–Staton integral''' is defined as :<ref>Frank |
In mathematics the '''Goodwin–Staton integral''' is defined as :<ref>[[Frank William John Olver]] (ed.), N. M. Temme (Chapter contr.), NIST Handbook of Mathematical Functions, Chapter 7, p160,[[Cambridge University Press]] 2010</ref> |
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: <math>G(z)=\int_0^\infty \frac {e^{-t^2}}{t+z} \, dt</math> |
: <math>G(z)=\int_0^\infty \frac {e^{-t^2}}{t+z} \, dt</math> |
Revision as of 21:49, 28 February 2016
In mathematics the Goodwin–Staton integral is defined as :[1]
It satisfies the following third-order nonlinear differential equation:
Symmetry
References
- ^ Frank William John Olver (ed.), N. M. Temme (Chapter contr.), NIST Handbook of Mathematical Functions, Chapter 7, p160,Cambridge University Press 2010
- http://journals.cambridge.org/article_S0013091504001087
- http://www.sciencedirect.com/science/article/pii/S0022407306002500
- http://dlmf.nist.gov/7.2
- http://discovery.dundee.ac.uk/portal/en/research/the-generalized-goodwinstaton-integral%283db9f429-7d7f-488c-a1d7-c8efffd01158%29.html
- http://discovery.dundee.ac.uk/portal/en/research/the-generalized-goodwinstaton-integral%283db9f429-7d7f-488c-a1d7-c8efffd01158%29/export.html
- http://www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_02.pdf
- F. W. J. Olver, Werner Rheinbolt, Academic Press, 2014, Mathematics,Asymptotics and Special Functions, 588 pages, ISBN 9781483267449 gbook