Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-30T19:46:10.403Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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