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A simple approach to the factorial function – the next step

Published online by Cambridge University Press:  01 August 2016

David Fowler
David Fowler*
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL
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Extract

In the previous note, I illustrated how to construct an approximation to the factorial function x! by starting from some approximation f 0 (x) on 0 ⩽ x ⩽ 1, and then extending it by the functional relation

so that

Information

Type
Articles
Information
The Mathematical Gazette , Volume 83 , Issue 496 , March 1999 , pp. 53 - 57
Copyright
Copyright © The Mathematical Association 1999

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References

1. Fowler, D.H., A simple approach to the factorial function, Math. Gaz. 80 (1996), pp. 378–380.Google Scholar
2. Jahnke, E. and Emde, F., Tables of Functions, (4th edition, 1938), Stuttgart, repr. Dover, New York (1945).Google Scholar
3. Fowler, D.H., The binomial coefficient function, American Mathematical Monthly, 103 (1) (1996) pp. 1–17. (For a much more clearly reproduced set of graphics, see the www directory http:// www.maths.warwick.ac.uk/maths/papers/, or the ftp directory ftp:// ftp.maths.warwick.ac.uk/pub/papers/dhf.)Google Scholar
4. Remmert, R., Wielandt’s theorem about the Γ-function, American Mathematical Monthly 103 (1996) pp. 214–220.Google Scholar