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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: [email protected]
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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

1. Song, I., A recursive formula for even order harmonic series, J. Comput. Appl. Math. 21 (1988) pp. 251–256.10.1016/0377-0427(88)90274-9Google Scholar
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