The Journal of the Indian Mathematical Society

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Summation of Certain Series


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1 Cipher Bureaux, New Delhi, India
     

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It does not appear to be known that the series 
φn=1/(1.2)n+1/(2.3)n+1/(3.4)n+...
can be summed in finite terms involving π for all positive integral values of n. In fact it can be shown to be equal to.
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  • Summation of Certain Series

Abstract Views: 182  |  PDF Views: 0

Authors

P. Kesava Menon
Cipher Bureaux, New Delhi, India

Abstract


It does not appear to be known that the series 
φn=1/(1.2)n+1/(2.3)n+1/(3.4)n+...
can be summed in finite terms involving π for all positive integral values of n. In fact it can be shown to be equal to.