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94.32 The recursive nature of Euler's formula for harmonic series

Published online by Cambridge University Press:  23 January 2015

Rasul A. Khan
Rasul A. Khan*
Affiliation:
Cleveland State University, Cleveland, OH 44115 USA, e-mail: r.khan@csuohio.edu
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Abstract

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Type
Notes 94.26 to 94.40
Information
The Mathematical Gazette , Volume 94 , Issue 531 , November 2010 , pp. 488 - 492
Copyright
Copyright © The Mathematical Association 2010

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References

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2. Knopp, Konrad, Theory and application of infinite series, Hafner (1971).Google Scholar
3. Benyi, A., Finding the sums of Harmonic series of even order, College Mathematics Journal 36 (2005), pp. 44–48.10.1080/07468342.2005.11922109Google Scholar
4. Apostol, T. M., Another elementary proof of Euler's formula for ζ (2n), Amer. Math. Monthly 80 (1973), pp. 425–431.Google Scholar
5. Apostol, T. M., A proof that Euler missed: evaluating ζ (2) the easy way, Mathematical Intelligencer 5 (1983), pp. 59–60.10.1007/BF03026576Google Scholar
6. Courant, R., Differential and Integral Calculus, Vol. 1, Translated by McShane, E. J., Interscience (1959).Google Scholar